Browsing by Author "U.S. Mahabaleshwar"

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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.
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.