Browsing by Author "Mukesh Kumar Awasthi"

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Analytical and numerical examinations on the stability investigation of Casson nanofluid flow in a permeable layer controlled by vertical throughflow
(Emerald Publishing, 2024) A.M. Mohamad; Dhananjay Yadav; Mukesh Kumar Awasthi; Ravi Ragoju; Krishnendu Bhattacharyya; Amit Mahajan
Purpose: The purpose of the study is to analytically as well as numerically investigate the weight of throughflow on the onset of Casson nanofluid layer in a permeable matrix. This study examines both the marginal and over stable kind of convective movement in the system. Design/methodology/approach: A double-phase model is used for Casson nanofluid, which integrates the impacts of thermophoresis and Brownian wave, whereas for flow in the porous matrix the altered Darcy model is occupied under the statement that nanoparticle flux is disappear on the boundaries. The resultant eigenvalue problem is resolved analytically as well as numerically with the help of Galerkin process with the Casson nanofluid Rayleigh–Darcy number as the eigenvalue. Findings: The findings revealed that the throughflow factor postpones the arrival of convective flow and reduces the extent of convective cells, whereas the Casson factor, the Casson nanoparticle Rayleigh–Darcy number and the reformed diffusivity ratio promote convective motion and also decrease the extent of convective cells. Originality/value: Controlling the convective movement in heat transfer systems that generate high heat flux is a real mechanical challenge. The proposed framework proved that the use of throughflow is one of the most important ways to control the convective movement in Casson nanofluid. To the best of the authors’ knowledge, no inspection has been established in the literature that studies the outcome of throughflow on the Casson nanofluid convective flow in a porous medium layer. However, the convective flow of Casson nanofluid finds many applications in improving heat transmission and energy efficiency in a range of thermal systems, such as the cooling of heat-generating elements in electronic devices, heat exchangers, pharmaceutical practices and hybrid-powered engines, where throughflow can play a significant role in controlling the convective motion. © 2024, Emerald Publishing Limited.
Analytical and numerical examinations on the stability investigation of Casson nanofluid flow in a permeable layer controlled by vertical throughflow
(Emerald Publishing, 2025) Abdul M. Mohamad; Dhananjay Yadav; Mukesh Kumar Awasthi; Ragoju Ravi; Krishnendu Bhattacharyya; Amit Mahajan
Purpose – The purpose of the study is to analytically as well as numerically investigate the weight of throughflow on the onset of Casson nanofluid layer in a permeable matrix. This study examines both the marginal and over stable kind of convective movement in the system. Design/methodology/approach – A double-phase model is used for Casson nanofluid, which integrates the impacts of thermophoresis and Brownian wave, whereas for flow in the porous matrix the altered Darcy model is occupied under the statement that nanoparticle flux is disappear on the boundaries. The resultant eigenvalue problem is resolved analytically as well as numerically with the help of Galerkin process with the Casson nanofluid Rayleigh–Darcy number as the eigenvalue. Findings – The findings revealed that the throughflow factor postpones the arrival of convective flow and reduces the extent of convective cells, whereas the Casson factor, the Casson nanoparticle Rayleigh–Darcy number and the reformed diffusivity ratio promote convective motion and also decrease the extent of convective cells. Originality/value – Controlling the convective movement in heat transfer systems that generate high heat flux is a real mechanical challenge. The proposed framework proved that the use of throughflow is one of the most important ways to control the convective movement in Casson nanofluid. To the best of the authors’ knowledge, no inspection has been established in the literature that studies the outcome of throughflow on the Casson nanofluid convective flow in a porous medium layer. However, the convective flow of Casson nanofluid finds many applications in improving heat transmission and energy efficiency in a range of thermal systems, such as the cooling of heat-generating elements in electronic devices, heat exchangers, pharmaceutical practices and hybrid-powered engines, where throughflow can play a significant role in controlling the convective motion. © 2024 Emerald Publishing Limited
Chemical Reaction and Internal Heating Effects on the Double Diffusive Convection in Porous Membrane Enclosures Soaked with Maxwell Fluid
(MDPI, 2022) Dhananjay Yadav; Maimouna Al-Siyabi; Mukesh Kumar Awasthi; Salma Al-Nadhairi; Amna Al-Rahbi; Maryam Al-Subhi; Ravi Ragoju; Krishnendu Bhattacharyya
In this paper, the joint impact of the interior heating and chemical reaction on the double diffusive convective flow in porous membrane enclosures soaked by a non-Newtonian Maxwell fluid is investigated applying linear and nonlinear stability techniques. The porous enclosures are square, slender and rectangular. Using the linear stability analysis, the expression for the critical thermal Rayleigh–Darcy number, above which the convective movement occurs, is derived analytically in terms of associated physical parameters. A nonlinear stability examination reliant on the Fourier double series is executed to calculate the convective heat and mass transports of the arrangement. It is observed that the pattern of convective activity is oscillatory only in the occurrence of a relaxation parameter and the threshold value of the relaxation parameter for the occurrence of the oscillatory pattern depends on the other physical parameters. The onset of convective instability accelerates with the increasing chemical reacting parameter, the interior heating parameter, the solute Rayleigh–Darcy number, the Lewis number, the Vadasz number, and the relaxation parameter, while it delays with the heat capacity ratio. The convective heat and mass transfers increase with the solute Rayleigh– Darcy number, the Vadasz number, the relaxation parameter, and the aspect ratio (for rectangular enclosure), while it decreases with the heat capacity ratio and the aspect ratio (for slender enclosure). Additionally, the convective heat transfer enhances with the interior heating parameter, while the convective mass transfer enhances with the chemical reacting parameter and the Lewis number. The effects of Vadasz number, heat capacity ratio, and relaxation parameter are witnessed only on the oscillatory pattern of convection and unsteady convective heat and mass transfers. Further, some existing literature results are compared with the current findings. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
Convective flow of ethylene glycol-silver Jeffery nanofluid in a Hele-Shaw cell with an influence of external magnetic field
(John Wiley and Sons Ltd, 2023) Dhananjay Yadav; Sara Al-Balushi; Mukesh Kumar Awasthi; Taif Al-Hadi; Raya Al-Abri; Jawhara Al-Wahaibi; Fatan Al-Nasseri; Sara Al-Siyabi; Ravi Ragoju; Krishnendu Bhattacharyya
This effort investigates the arrival of magnetothermal convection of ethylene glycol-silver Jeffrey nanofluid in a Hele-Shaw cell utilizing the linear stability concept. The model practiced for the Jeffrey nanofluid includes the impacts of Brownian movement and thermophoresis. The norms for both marginal and overstable modes of convections are developed analytically. The impact of magnetic Chandrasekhar number (Figure presented.), magnetic Prandtl number (Figure presented.), Jeffrey parameter (Figure presented.), Hele-Shaw number (Figure presented.), and a variety of nanofluid parameters such as the volumetric fraction of nanoparticles (Figure presented.), nanoparticle Rayleigh number (Figure presented.), adjusted diffusive ratio (Figure presented.), and Lewis number (Figure presented.) on the beginning of convective motion are investigated, and results are illustrated graphically. It is observed that the overstable approach of convection is probable below the certain threshold estimate of the magnetic Prandtl number (Figure presented.). This threshold estimate of the magnetic Prandtl number (Figure presented.) upturns with a rise in the rate of (Figure presented.), (Figure presented.), and (Figure presented.), while it drops with a surge in the nanofluid parameters. The system was found to be more stable by decreasing the Hele-Shaw number (Figure presented.), the Jeffery parameter (Figure presented.), and nanofluid parameters, while it was unstable by decreasing the magnetic Chandrasekhar number (Figure presented.) and the magnetic Prandtl number (Figure presented.). © 2023 Curtin University and John Wiley & Sons Ltd.
Double diffusive convective motion in a reactive porous medium layer saturated by a non-Newtonian Kuvshiniski fluid
(American Institute of Physics Inc., 2022) Dhananjay Yadav; Mukesh Kumar Awasthi; M. Al-Siyabi; S. Al-Nadhairi; A. Al-Rahbi; M. Al-Subhi; Ravi Ragoju; Krishnendu Bhattacharyya
The impact of chemical reactions on the double-diffusive convective motion in a non-Newtonian viscoelastic fluid (Kuvshiniski type) saturated porous layer is examined applying both linear and nonlinear stability techniques. The Darcy model that includes the Kuvshiniski type viscoelastic effect of viscoelastic fluid and the Boussinesq estimation is employed as the momentum equation. The conditions for the occurrence of the stationary and oscillatory style of convective motions are determined by applying linear stability theory in terms of a critical thermal Rayleigh-Darcy number. Using the weakly nonlinear stability analysis, the convective heat and mass transfers are calculated. It is observed that the occurrence of oscillatory convection is possible only if the value of the solute Rayleigh-Darcy number is negative and also depends on other involved physical parameters. With rising values of the Kuvshiniski parameter and the heat capacity ratio, the range of the solute Rayleigh-Darcy number in which oscillatory convection is privileged diminishes, whereas it grows with the chemical reacting parameter and the Lewis number. The critical thermal Rayleigh-Darcy number at which the convective motion occurs increased nearly 3% with a 15% increase in the value of the Kuvshiniski parameter. Furthermore, the convective heat and mass transfers are reduced by growing the Kuvshiniski parameter and the heat capacity ratio, while both are enhanced by increasing the thermal Rayleigh-Darcy number and the solute Rayleigh-Darcy number. © 2022 Author(s).
Earthworms and vermicompost: an eco-friendly approach for repaying nature’s debt
(Springer, 2020) Archana Singh; Natchimuthu Karmegam; Gopal Shankar Singh; Tunira Bhadauria; Soon Woong Chang; Mukesh Kumar Awasthi; Sivasubramaniam Sudhakar; Kantha Deivi Arunachalam; Muniyandi Biruntha; Balasubramani Ravindran
Abstract: The steady increase in the world’s population has intensified the need for crop productivity, but the majority of the agricultural practices are associated with adverse effects on the environment. Such undesired environmental outcomes may be mitigated by utilizing biological agents as part of farming practice. The present review article summarizes the analyses of the current status of global agriculture and soil scenarios; a description of the role of earthworms and their products as better biofertilizer; and suggestions for the rejuvenation of such technology despite significant lapses and gaps in research and extension programs. By maintaining a close collaboration with farmers, we have recognized a shift in their attitude and renewed optimism toward nature-based green technology. Based on these relations, it is inferred that the application of earthworm-mediated vermitechnology increases sustainable development by strengthening the underlying economic, social and ecological framework. Graphic abstract: [Figure not available: see fulltext.] © 2020, Springer Nature B.V.
Impact of temperature-reliant thermal conductivity and viscosity variations on the convection of Jeffrey fluid in a rotating cellular porous layer
(Royal Society Publishing, 2024) Dhananjay Yadav; Mukesh Kumar Awasthi; Ravi Ragoju; Krishnendu Bhattacharyya; Raghunath Kodi; Mohammad Hassan; Junye Wang
In this analysis, the collective impact of temperature-dependent thermal conductivity and viscosity variations on the convective instability of a Jeffrey fluid in a rotating layer of cellular porous material is examined using an improved Jeffrey–Darcy model. This study has significant implications for cellular foams made from plastics, ceramics and metals, in which radiative heat transmission can be taken as a diffusion practice. Utilizing the linear stability concept and Galerkin method, approximate analytical and numerical solutions accurate to one decimal place are offered. The analysis reveals that the effect of the thermal conductivity variation factor and the rotation factor is to postpone the convective wave, whereas the viscosity variation factor and the Jeffrey factor have a dual effect in the form of rotation. The range of the convective cell is reduced with cumulating thermal conductivity variation factor, viscosity variation factor, Jeffrey factor and rotation factor. In the absence of rotation, the range of the convective cell is not dependent on the Jeffrey factor or the viscosity variation factor. Furthermore, the outcomes are matched with the existing literature for the specific case of this investigation. © 2024 The Author(s). Published by the Royal Society. All rights reserved.
Impact of viscous dissipation, throughflow and rotation on the thermal convective instability of Jeffrey fluid in a porous medium layer
(Elsevier Ltd, 2025) Dhananjay Yadav; Mukesh Kumar Awasthi; Ragoju Ravi; Krishnendu Bhattacharyya; Amit Mahajan; Junye Wang
In this analysis, the collective effects of rotation, viscous dissipation and vertical throughflow on the onset of convective movement in Jeffrey fluid saturated permeable layer is studied. The improved Darcy model is applied to depict the rheological performance of Jeffrey fluid flow in porous medium. The approximate analytical solution with overall error 0.4 % and numerical solution accurate to one decimal place are presented using the Galerkin process. The analysis reveals that the convective motion concentrates in the top layer if it occurred with sufficiently high value of the Darcy–Eckert number. The rotation factor and the Péclet number postponement the onset of convective drive while, the Gebhart number quicken it weakly. In the occurrence of rotation, the Jeffrey factor displays dual impact on the coming of convective movement. The magnitude of the convection cell declines with increasing the rotation factor, the Jeffrey factor and the Péclet number, while it decreases with enhancing the Gebhart number. It is also found that in the lack of rotation, the Jeffrey factor has no impression on the extent of the convective cell, whereas in the nonexistence of the Péclet number, the Gebhart number has no impact on the arrival of convective drive as well as on the magnitude of the convective cells. © 2024 Elsevier Masson SAS
Linear and nonlinear investigations of the impact of chemical reaction on the thermohaline convection in a permeable layer saturated with Casson fluid
(American Institute of Physics Inc., 2024) Dhananjay Yadav; Sanjith Bharatharajan Nair; Mukesh Kumar Awasthi; Ravi Ragoju; Krishnendu Bhattacharyya
In this effort, the consequence of chemical reaction on the thermohaline convection in a permeable layer containing Casson fluid is inspected utilizing both linear and nonlinear stability procedures. To model the momentum equation, the Casson fluid version of Darcy's law is utilized. Applying the linear stability concept, the situation for the start of stationary and oscillatory pattern of convective motion is obtained, whereas the convective heat and mass transferences are determined using nonlinear stability theory. It is found that the oscillatory type of convective flow is probable only if the evaluation of the solutal Rayleigh-Darcy number is less than zero. The effect of the chemical reacting factor, the Casson factor, the Lewis number, and the solutal Rayleigh-Darcy number is to hurry the start of convection toward both stationary and oscillatory styles of convection and also surge the size of the convective cells. The convective heat and mass transfers enhance with increasing the Casson factor, the solutal and thermal Rayleigh-Darcy numbers while both decrease with enhancing the heat capacity quotient. The effect of chemical reacting factor is to increase the mass transmission in the system, while it has no effect on the heat transmission. It is also noted that the convective heat and mass transfers in the system enhance nearly 5.4% and 3.8%, respectively, with a 50% increase in the value of Casson factor. © 2024 Author(s).
Numerical Treatment on the Convective Instability in a Jeffrey Fluid Soaked Permeable Layer with Through-Flow
(CRC Press, 2022) Dhananjay Yadav; Mukesh Kumar Awasthi; U.S. Mahabaleshwar; Krishnendu Bhattacharyya
In the current chapter, the impact of upright throughflow on the convective instability in a Jeffrey fluid-saturated permeable layer is inspected numerically exploiting high-order Galerkin process. The layer of Jeffrey fluid is warmed from the bottom and subjected to a constant upward throughflow. The flow in the permeable medium is modeled by a modified Jeffrey-extended Darcy equation that captures into account the viscoelasticity of Jeffrey fluid. The results expose that the stability of the arrangement is declined with increasing Jeffrey parameter, while a reverse accomplish is detected with throughflow parameters. The dimension of the convective cells is declined by increasing the throughflow parameter, whereas the Jeffrey parameter has no impact on it. © 2023 selection and editorial matter Mukesh Kumar Awasthi, Ravi Tomar and Maanak Gupta.
The effect of Péclet number on the onset of Casson fluid convective motion in a porous layer: Analytical and numerical investigations
(Taylor and Francis Ltd., 2025) Abdul M. Mohamad; Dhananjay Yadav; Sanjith Bharatharajan Nair; Mukesh Kumar Awasthi; Ragoju Ravi; Krishnendu Bhattacharyya
In this article, we present analytical and numerical investigations of the influence of Péclet number on the arrival of Casson fluid convective motion in a horizontal porous layer utilizing the Galerkin technique. The flow in the porous matrix is modeled by an amended Casson-altered Darcy equation that considers the rheological behavior of Casson fluid. The outcomes indicate that the stability of the arrangement drops with growing the Casson parameter, while a reverse result is detected with Péclet number. We demonstrated that the oscillatory instability is not promising for the considered problem. It is also important to note that the extent of the convective cell declines with increasing the Péclet number on using the higher order Galerkin approximation while, on using the single term Galerkin approximation, the Péclet number has no impact on the magnitude of the convection cell. Further, the present results are equated with the available literature under the limiting situation of this study. © 2024 Taylor & Francis Group, LLC.
The effect of Péclet number on the onset of Casson fluid convective motion in a porous layer: Analytical and numerical investigations
(Taylor and Francis Ltd., 2024) A.M. Mohamad; Dhananjay Yadav; Sanjith Bharatharajan Nair; Mukesh Kumar Awasthi; Ragoju Ravi; Krishnendu Bhattacharyya
In this article, we present analytical and numerical investigations of the influence of Péclet number on the arrival of Casson fluid convective motion in a horizontal porous layer utilizing the Galerkin technique. The flow in the porous matrix is modeled by an amended Casson-altered Darcy equation that considers the rheological behavior of Casson fluid. The outcomes indicate that the stability of the arrangement drops with growing the Casson parameter, while a reverse result is detected with Péclet number. We demonstrated that the oscillatory instability is not promising for the considered problem. It is also important to note that the extent of the convective cell declines with increasing the Péclet number on using the higher order Galerkin approximation while, on using the single term Galerkin approximation, the Péclet number has no impact on the magnitude of the convection cell. Further, the present results are equated with the available literature under the limiting situation of this study. © 2024 Taylor & Francis Group, LLC.
The impact of rotation on the onset of cellular convective movement in a casson fluid saturated permeable layer with temperature dependent thermal conductivity and viscosity deviations
(Elsevier B.V., 2024) Dhananjay Yadav; Mukesh Kumar Awasthi; Ravi Ragoju; Krishnendu Bhattacharyya; Raghunath Kodi; Junye Wang
In this effort, we examined the impact of rotation on the arrival of cellular convective motion in a Casson fluid saturated permeable layer with temperature dependent thermal conductivity and viscosity deviations. The problem is important to cellular foams prepared from plastics, ceramics, and metallic where radiation conductivity is revealed as a power function of temperature. The altered Darcy model is used to characterize the rheological performance of Casson fluid flow in permeable medium. The approximate analytical solution and numerical solution correct to one decimal place are presented utilizing the Galerkin method. The analysis reveals that the influence of thermal conductivity disparity parameter and the rotation is to delay the convective motion whereas; the viscosity disparity parameter and the Casson parameter have dual impact on the convective motion in the presence of rotation. The range of the convective cell drops with increasing the thermal conductivity disparity parameter, the viscosity disparity parameter, the Casson parameter and rotation parameter. In the absence of rotation, the range of the convective cell does not depend on the Casson parameter and the viscosity disparity parameter. Further, the existing results are compared with the existing literature under the particular case of this study. © 2024 The Physical Society of the Republic of China (Taiwan)
The onset of Casson fluid convection in a permeable medium layer produced by purely inner heating with magnetic field
(University of Tehran, 2024) Dhananjay Yadav; Mukesh Kumar Awasthi; A.M. Mohamad; Ravi Ragoju; Krishnendu Bhattacharyya; Mohammad Hassan
In this inspection, the control of the magnetic power on the onset of Casson fluid convection formed by purely inner warming in a porous medium layer is examined. The modified Darcy model is employed to designate the rheological arrival of Casson liquid flow in a porous matrix. Two types of thermal boundaries are exploited, namely, type (I) both isothermal and type (II) lower insulated and top isothermal boundaries. Using the linear stability inspection and Galerkin technique, the approximate analytical solution and numerical solution correct to one decimal place are offered. It is detected that for type (I) boundary conditions, the convective wave concentrates in the upper layer if it occurs, whereas for type (II) boundary conditions, it emphases in the whole layer. The magnetic Chandrasekhar number postpones the convection movement while the Casson constraint accelerates it. The facet of the convective cells drops with enhancing the magnetic strength and the Casson constraint. In the absenteeism of magnetic field, the Casson constraint has no regulation on the dimension of convective cells. It is also found that the presented analytical result with two term Galerkin process has overall 5% error, while with one term Galerkin process the error was overall 19%. © 2024 University of Tehran. All rights reserved.
Thermal boundary conditions and rotation effects on the onset of casson fluid convection in a permeable layer produced by purely interior heating
(Taylor and Francis Ltd., 2025) Dhananjay Yadav; Mukesh Kumar Awasthi; Abhishek Kumar Singh; Ragoju Ravi; Krishnendu Bhattacharyya; U. S. Mahabaleswar
In this work, we inspect the effect of thermal boundary conditions and rotation on the coming of Casson fluid convective motion generated by purely internal warming in a flat porous layer. Two types of thermal boundaries are utilized, namely, type (I) both boundary planes are isothermal and type (II) bottom boundary plane is insulated and top plane is isothermal. The altered Darcy model is used to characterize the rheological performance of Casson fluid movement in porous medium. The classical Horton–Rogers Lapwood stability examination is accomplished and the resultant eigenvalue problem is resolved numerically with the help of advanced-term Galerkin technique with the internal Rayleigh Darcy number as the eigenvalue. It is observed that the Taylor Darcy number has a stabilizing weight while the Casson parameter shows the dual influence on the system. The structure is more stable when both boundary planes are isothermal. The magnitude of the convection cells falls with increasing both the Taylor Darcy number and the Casson parameter. In the absence of Taylor Darcy number, the system’s stability decreases with the Casson parameter. Further, it is remarkable to observe that without rotation, the Casson parameter has no impression on the magnitude of convection cells. © 2024 Taylor & Francis Group, LLC.
Thermal boundary conditions and rotation effects on the onset of casson fluid convection in a permeable layer produced by purely interior heating
(Taylor and Francis Ltd., 2024) Dhananjay Yadav; Mukesh Kumar Awasthi; Abhishek Kumar Singh; Ragoju Ravi; Krishnendu Bhattacharyya; U.S. Mahabaleshwar
In this work, we inspect the effect of thermal boundary conditions and rotation on the coming of Casson fluid convective motion generated by purely internal warming in a flat porous layer. Two types of thermal boundaries are utilized, namely, type (I) both boundary planes are isothermal and type (II) bottom boundary plane is insulated and top plane is isothermal. The altered Darcy model is used to characterize the rheological performance of Casson fluid movement in porous medium. The classical Horton–Rogers Lapwood stability examination is accomplished and the resultant eigenvalue problem is resolved numerically with the help of advanced-term Galerkin technique with the internal Rayleigh Darcy number as the eigenvalue. It is observed that the Taylor Darcy number has a stabilizing weight while the Casson parameter shows the dual influence on the system. The structure is more stable when both boundary planes are isothermal. The magnitude of the convection cells falls with increasing both the Taylor Darcy number and the Casson parameter. In the absence of Taylor Darcy number, the system’s stability decreases with the Casson parameter. Further, it is remarkable to observe that without rotation, the Casson parameter has no impression on the magnitude of convection cells. © 2024 Taylor & Francis Group, LLC.
Thermal convection in a layer of micropolar nanofluid
(John Wiley and Sons Ltd, 2021) Ramesh Chand; Dhananjay Yadav; Krishnendu Bhattacharyya; Mukesh Kumar Awasthi
The theoretical investigation of thermal convection in a horizontal layer of micropolar nanofluid is examined within the rule of linear stability hypothesis. The model applied for nanofluid integrates the impact of Brownian and thermophoresis diffusions. The flux of the volumetric fraction of nanoparticles is considered to be nil on the boundaries. The critical eigenvalues are achieved using the Galerkin approach, and the results are discussed and illustrated graphically. The results show that the Lewis number, the modified diffusivity ratio, the nanoparticle Rayleigh number, and the coefficient of coupling amid spin and heat flux accelerate the onset of convective motion, whereas the micropolar parameter and the coefficient of coupling amid vorticity and spin delay the onset of convective motion in the system. © 2021 Curtin University and John Wiley & Sons, Ltd.