Nonlinear Thermal Instability of Couple-Stress Fluids in Porous Media Under Thermal Modulation

Manjula, S. H.; Kiran, Palle

doi:10.1007/978-981-16-4321-7_31

Cited by 2 publications

(6 citation statements)

References 31 publications

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“…In Figures 2-8, we have plotted the Nusselt number Nu τ ðÞwith slow time τ for the case of rotational speed modulation. From the figures, we find that for small-time τ, [46][47][48]). This may happen due to the dominating role of thermal diffusivity κ T over kinematic viscosity ?.…”

Section: Numerical Computationmentioning

confidence: 86%

“…These studies present results of gravity modulation on thermal instability in fluid or porous layer. Also, the effect of thermal modulation on convective instability has been investigated in [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56]. The effect of thermal modulation on chaotic convection [38], throughflow effects in the presence of thermal modulation [39,41,42,49,56], thermal modulation with internal heating [40], thermal modulation on magnetoconvection [43,45,48,54,55] have been investigated.…”

Section: Introductionmentioning

confidence: 99%

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Thermo-Rheological Effect on Weak Nonlinear Rayleigh-Benard Convection under Rotation Speed Modulation

Manjula¹,

Kiran²

2023

Boundary Layer Flows - Modelling, Computation, and Applications of Laminar, Turbulent Incompressible and Compressible Flows

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The effects of rotation speed modulation and temperature-dependent viscosity on Rayleigh-Benard convection were investigated using a non-autonomous Ginzburg-Landau equation. The rotating temperature-dependent viscous fluid layer has been considered. The momentum equation with the Coriolis term has been used to describe finite-amplitude convective flow. The system is considered to be rotating about its vertical axis with a non-uniform rotation speed. In particular, we assume that the rotation speed is varying sinusoidally with time. Nusselt number is obtained in terms of the system parameters and graphically evaluated their effects. The effect of the modulated system diminishes the heat transfer more than the un-modulated system. Further, thermo-rheological parameter VT is found to destabilize the system.

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Section: Numerical Computationmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Thermo-Rheological Effect on Weak Nonlinear Rayleigh-Benard Convection under Rotation Speed Modulation

Manjula¹,

Kiran²

2023

Boundary Layer Flows - Modelling, Computation, and Applications of Laminar, Turbulent Incompressible and Compressible Flows

Self Cite

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“…Besides, the correlations of Srinivas and Chhabra [53] and Sabiri and Comiti [54] may generate a negative value of void function χ, as shown in Figure 9, which is against the requirement (2-3). To overcome this problem, Qi et al [15,56,57] conducted a series of studies by extending the studies of Rong et al [13,14] from Newtonian fluid to non-Newtonian fluid. Qi et al [56,57] also considered both monosize and multisize particle systems.…”

Section: From Newtonian Fluid To Non-newtonian Fluid Systemmentioning

confidence: 99%

“…To overcome this problem, Qi et al [15,56,57] conducted a series of studies by extending the studies of Rong et al [13,14] from Newtonian fluid to non-Newtonian fluid. Qi et al [56,57] also considered both monosize and multisize particle systems. Overall, the resulting drag correlation is consistent with the drag correlation proposed for Newtonian fluid-particle systems by Rong et al [13,14] and satisfies all the requirements (Table 6).…”

Section: From Newtonian Fluid To Non-newtonian Fluid Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Boundary Layer Flows - Modelling, Computation, and Applications of Laminar, Turbulent Incompressible and Compressible Flows

2023

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Meet the editorsProf. Vallampati Ramachandra Prasad works in the fields of multi-physical fluid dynamics and numerical simulation. His research investigates complex phenomena of interest in mechanical engineering, applied mathematics, chemical engineering, and material processing. He has made fundamental contributions in magnetic fluid dynamics, thermal radiation heat transfer, fluid modeling, micro polar non-Newtonian hydrodynamics, magnetic induction flows, viscoelastic liquid flows, porous media, and boundary flows. He has published more than 100 journal articles and has presented at numerous conferences. He has written and edited several books on radiation heat transfer, thermo-diffusion and diffusion-thermo effects on boundary layer flows, and viscoelastic flows. He has collaborated with researchers in the United States, India, Spain, Turkey, and Taiwan, among other countries. He is currently a reviewer for more than 100 national and international journals. PrefaceThis book presents recent advances in boundary layer flows and modern analytical and computational techniques to deepen the understanding of laminar and turbulent flows, which may be compressible or incompressible. It presents interpretations of theoretical and experimental results in boundary layer flows and directions for future research. There are chapters on atmospheric boundary layers, laminar boundary layers, the physics of the transition from laminar to turbulent flow, the turbulent boundary layer and its governing equations in time-averaging form, drag prediction by integral methods, turbulence modeling and differential methods, and current topics and problems in research and industry. The book also includes different numerical methods to solve boundary layer equations, their stability, and convergence. Written by the world's authoritative experts in the field, this book provides the opportunity to explore studies on boundary layer theory and their importance to the nonlinear theory of viscous and electrically conducting flows, the theory of heat and mass transfer, and the dynamics of reactive and multiphase media and aerodynamics. This volume is a useful resource for applied mathematicians, physicists, and engineers working with laminar and turbulent boundary layer flows.

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Nonlinear Thermal Instability of Couple-Stress Fluids in Porous Media Under Thermal Modulation

Cited by 2 publications

References 31 publications

Thermo-Rheological Effect on Weak Nonlinear Rayleigh-Benard Convection under Rotation Speed Modulation

Thermo-Rheological Effect on Weak Nonlinear Rayleigh-Benard Convection under Rotation Speed Modulation

Boundary Layer Flows - Modelling, Computation, and Applications of Laminar, Turbulent Incompressible and Compressible Flows

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