Unsteady Flow of Couple Stress Fluid Sandwiched Between Newtonian Fluids Through a Channel

Devakar, M.; Raje, Ankush; Hande, Shubham

doi:10.1515/zna-2017-0434

Cited by 15 publications

(23 citation statements)

References 22 publications

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“…These conditions are given in the equations below. 35,36 The initial conditions are, u y t t I ( , ) = 0 for = 0 and for = 1, 2, 3,…”

Section: Mathematical Modeling and Problem Formulationmentioning

confidence: 99%

“…Umavathi et al 34 considered the unsteady flow and heat transfer of porous media between viscous fluids. Devakar et al 35 studied the unsteady flow through the channel of couple‐stress fluid between Newtonian fluids. Devakar et al 36 describe an unsteady flow of an immiscible micropolar fluid between Newtonian fluids.…”

Section: Introductionmentioning

confidence: 99%

“…Umavathi et al 34 considered the unsteady flow and heat transfer of porous media between viscous fluids. Devakar et al 35 The rest of the paper is organized into four sections. The mathematical formulation of the problem has been documented in Section 2.…”

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confidence: 99%

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Heat transport in a sandwiched set‐up of MHD Newtonian–Casson–Newtonian fluids through a porous medium

Raje

Bhise

2022

Heat Trans

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The time-dependent sandwiched flow of immiscible fluids plays a vital role in petroleum extraction, biofluid mechanics, blood rheology, and so forth. Owing to their applications, the present study focuses on exploring the unsteady flow of Casson fluid through porous media sandwiched between Newtonian fluids in the channel. The channel is placed in the horizontal position, wherein the Casson fluid layer is in the central region, and Newtonian fluids are in the upperand lower regions. The governing system of equations is numerically solved using the finite difference method to obtain flow and heat transfer profiles. The influence of vital parameters on flow and heat transfer is discussed. Furthermore, the parameters of engineering interest, that is, fluid flow rate, skin friction, and Nusselt number are also analyzed in this study.

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“…These conditions are given in the equations below. 35,36 The initial conditions are, u y t t I ( , ) = 0 for = 0 and for = 1, 2, 3,…”

Section: Mathematical Modeling and Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Heat transport in a sandwiched set‐up of MHD Newtonian–Casson–Newtonian fluids through a porous medium

Raje

Bhise

2022

Heat Trans

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“…Devakar et al [13] obtained analytical solutions of couple stress fluid for different types of unidirectional fully developed flow and results are verified for Newtonian fluid. Under the influence of uniform magnetic field, drag force for micropolar fluid experienced on the sphere was determined by Madasu and Bucha [14].…”

Section: Introductionmentioning

confidence: 97%

Impact of Mhd on Couple Stress Fluid Flow Enclosing a Solid Sphere in a Porous Medium

Deo

Maurya

2022

Preprint

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This work concerns the Stokesian flow of an axisymmetric, incompressible couple stress fluid through a porous medium which encloses a solid sphere, under a uniform magnetic field. The problem is solved analytically by using separation of variables technique and expressions for stream function, velocity components, vorticity component, fluid pressure, stress tensors and couple stresses are obtained in terms of modified Bessel functions. A new result for drag force experienced by a solid sphere enclosed in porous medium under the applied uniform magnetic field is evaluated. Some special cases for flow past the impermeable sphere are obtained and validated by the existing results. Also, a well-known result of drag force for the Stokes flow past an impermeable sphere is reported. The profiles of tangential velocity, drag force and patterns of streamlines are plotted for different values of flow parameters.

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“…Followed by that, Li et al 21 studied the mixed convection of Newtonian and non‐Newtonian nanoliquids, which pass through a vertical channel. Later, Devakar et al 22 studied the three‐layer unsteady fluid flow in a horizontal plate with different kinds of fluids.…”

Section: Introductionmentioning

confidence: 99%

Multilayer flow and heat transport of nanoliquids with nonlinear Boussinesq approximation and viscous heating using differential transform method

Anandika

Mahanthesh

2021

Heat Trans

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Multilayer fluid flow models are significant in various applications, namely, cooling electronic systems, solar thermal systems, and nuclear reactors. The density of a fluid fluctuates nonlinearly due to large temperature difference circumstances in thermal systems. Thus, the linear Boussinesq approximation is no longer relevant. Therefore, this article describes a multilayer flow of nanoliquids in the presence of nonlinear Boussinesq approximation. The hybrid nanoliquid layer is sandwiched between two nanoliquid layers. The single‐phase khanafer‐vafai‐lightstone model is implemented to simulate the nanoliquids. The quadratic density temperature fluctuation and viscous heating are taken into account. The temperature and velocity across the interface are assumed to be continuous. The equations that govern the problem are solved analytically by using the differential transformation method. The results show that the presence of a hybrid nanoliquid layer affects the velocity and heat transfer properties of the nanofluid flow. Hybrid nanofluid can be used to achieve the desired multilayer flow properties of a nanofluid and its heat transfer properties. Further, the quadratic convection aspect increases the velocity distributions.

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Unsteady Flow of Couple Stress Fluid Sandwiched Between Newtonian Fluids Through a Channel

Cited by 15 publications

References 22 publications

Heat transport in a sandwiched set‐up of MHD Newtonian–Casson–Newtonian fluids through a porous medium

Heat transport in a sandwiched set‐up of MHD Newtonian–Casson–Newtonian fluids through a porous medium

Impact of Mhd on Couple Stress Fluid Flow Enclosing a Solid Sphere in a Porous Medium

Multilayer flow and heat transport of nanoliquids with nonlinear Boussinesq approximation and viscous heating using differential transform method

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