Fully developed flow of non-Newtonian fluids in a straight uniform square duct through porous medium

The present mathematical formulation focuses on unsteady boundary layer squeezing flow of a Walter's B fluid between parallel plates. Heat transfer phenomenon is also a momentous content to investigate the current problem. Momentum and energy equations are developed to flourish the consequences of the problem. Modeled coupled partial differential equations are metamorphosed into resemblance form of ordinary differential equations by using competent similarity transformations. Non-dimensional form of governing equations is elucidated with shooting technique along Runge-Kutta method to obtain numerical solution. The influences of sundry dynamic variables such as dimensionless length parameter, the squeezing number, Prandtl number and the Eckert number on the dimensionless profiles are evaluated and presented graphically. The skin friction coefficient is also explained with the aid of graph and table.

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“…The governing momentum equations become [44] 5 Heat transfer analysis The obtained energy equation is (6) = (x, y, t).…”

Section: Mathematical Formulationmentioning

confidence: 99%

Numerical investigation of squeezing flow of Walters’ B fluid through parallel plates

Hussain¹,

Akbar²,

Sarwar³

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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“…Heat transfer analysis of the motion of different nanofluids has been performed by many researchers using different geometries. Devakar et al [40] studied non-Newtonian fluid motion through a square duct past a permeable medium. Srinivasacharya and Shafeeurrahman [41] investigated the nanofluid flow between concentric cylinders.…”

Section: Introductionmentioning

confidence: 99%

A Magnetite–Water-Based Nanofluid Three-Dimensional Thin Film Flow on an Inclined Rotating Surface with Non-Linear Thermal Radiations and Couple Stress Effects

Ullah¹,

Ikramullah

Selim

et al. 2021

Energies

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This study is related to the heat energy transfer during 3D nanofluid (water-based) motion over a rotating surface by incorporating the combined impacts of thermal radiations and couple stress. The flow is modeled by a set of non-linear coupled PDEs, which is converted to a set of coupled non-linear ODEs by using suitable similarity transformations. The transformed equations are solved with the built-in NDSolve command. The effects of relevant interesting parameters on the nanofluid velocity components and temperature distribution are explained through various graphs. It is found that the velocity component f(η) is increased with higher values of γ and A0 while it drops with an increasing rotation parameter and nanoparticle volume fraction. The fluid temperature increases with higher αnf, Rd, ϵ2, ϵ3, A1 and drops with increasing Pr, ϵ1 and couple stress parameter (A0). The Nusselt number remains constant at a fixed Pr and Rd, whereas it increases with increasing Pr and is reduced with rising Rd. A comparison between the achieved results is carried out with the analytical results through different tables. An excellent agreement is observed between these results.

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“…Ramesh (2016) investigated the effects of slip and convective conditions on the peristaltic motion of a couple stress fluid in an asymmetric channel through a porous medium. Devakar et al (2017) analyzed the flow of couple stress and Jeffery fluids in a square duct using finite difference method. Mubashir et al (2017) studied the squeezing flow of a Casson fluid through the porous medium using homotopy perturbation method.…”

Section: Introductionmentioning

confidence: 99%

Effects of thermal radiation and magnetohydrodynamics on Ree-Eyring fluid flows through porous medium with slip boundary conditions

Ramesh

Eytoo

2019

MMMS

Self Cite

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Purpose The purpose of this paper is to investigate the three fundamental flows (namely, both the plates moving in opposite directions, the lower plate is moving and other is at rest, and both the plates moving in the direction of flow) of the Ree-Eyring fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the intention of the study is to examine the effect of different physical parameters on the fluid flow. Design/methodology/approach The mathematical modeling is performed on the basis of law of conservation of mass, momentum and energy equation. The modeling of the present problem is considered in Cartesian coordinate system. The governing equations are non-dimensionalized using appropriate dimensionless quantities in all the mentioned cases. The closed-form solutions are presented for the velocity and temperature profiles. Findings The graphical results are presented for the velocity and temperature distributions with the pertinent parameters of interest. It is observed from the present results that the velocity is a decreasing function of Hartmann number. Temperature increases with the increase of Ree-Eyring fluid parameter, radiation parameter and temperature slip parameter. Originality/value First time in the literature, the authors obtained closed-form solutions for the fundamental flows of Ree-Erying fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the results of this paper are new and original.

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Fully developed flow of non-Newtonian fluids in a straight uniform square duct through porous medium

Cited by 14 publications

References 41 publications

Numerical investigation of squeezing flow of Walters’ B fluid through parallel plates

Numerical investigation of squeezing flow of Walters’ B fluid through parallel plates

A Magnetite–Water-Based Nanofluid Three-Dimensional Thin Film Flow on an Inclined Rotating Surface with Non-Linear Thermal Radiations and Couple Stress Effects

Effects of thermal radiation and magnetohydrodynamics on Ree-Eyring fluid flows through porous medium with slip boundary conditions

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