Parametric Analysis of Entropy Generation in Magneto-Hemodynamic Flow in a Semi-Porous Channel with OHAM and DTM

Rashidi, Majid; Parsa, Amir Basiri; Bég, O. Anwar; Shamekhi, L.; Sadri, Seyed Majid; Bég, Tasveer A.

doi:10.1155/2014/413213

Cited by 19 publications

(10 citation statements)

References 43 publications

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“…This leads to a rise in temperatures. Similar observations have been made by Aïboud and Saouli [30] for non-Newtonian viscoelastic flow and by Rashidi et al for magnetic convection flows [31]. Figure 10 elucidates the effect of couple stress parameter s 2 on the entropy generation number Ns.…”

Section: Resultssupporting

confidence: 83%

Entropy generation analysis of radiative heat transfer effects on channel flow of two immiscible couple stress fluids

Jangili

Murthy

Bég

2017

J Braz. Soc. Mech. Sci. Eng.

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List of symbols Be Bejan number Br Brinkman number (Br/Ω) Viscous dissipation parameter E Specific internal energy Ek Eckert number f Body forces per unit mass 2h Height of the free channel h Heat flux k 1 , k 2 Thermal conductivity of the fluid in zone-I, II ℓ Body couple per unit mass n η Couple stress coefficients ratio n k Thermal conductivity ratio n μ Viscosity ratio n ρ Density ratio Nf i Entropy generation due to viscous dissipation Ns i Dimensionless total entropy generation number Ny i Entropy generation due to transverse conduction Nu Nusselt number q r Radiation heat flux Pr Prandtl number q Velocity vector N R Radiation parameter P Pressure Re Reynolds number s 1 , s 2 Couple stress parameters (S i) G Entropy generation rate (S 1) G,C Characteristic entropy transfer rate T 1 , T 2 Non-dimensional temperatures Abstract An analysis is presented to investigate the effects of radiative heat transfer on entropy generation in flow of two immiscible non-Newtonian fluids between two horizontal parallel plates. Both the plates are maintained at constant temperatures higher than that of the fluid. The Stokes' couple stress flow model is employed. The flow region consists of two zones with the flow of the heavier fluid taking place in the lower zone. The classical "no-slip" condition is prescribed at the plates and continuity of velocity, vorticity, shear stress, couple stress, temperature and heat flux are imposed at the interface. The original partial differential Navier-Stokes equations are converted to ordinary differential equations by assuming velocity and temperature are functions of vertical distance and solved mathematically by usual classical methods. The derived velocity and temperature profiles are used to compute the expressions for the entropy generation number and Bejan number. The effects of relevant parameters on velocity, temperature, entropy generation number and Bejan number are investigated. The computations show that the entropy production decreases with thermal radiation, whereas it increases with viscous dissipation. The effect of viscous dissipation is justified since it significantly affects heat transfer and

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Section: Resultssupporting

confidence: 83%

Entropy generation analysis of radiative heat transfer effects on channel flow of two immiscible couple stress fluids

Jangili

Murthy

Bég

2017

J Braz. Soc. Mech. Sci. Eng.

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“…After employing Equation (31) on the solutions for f I are obtained by solving iteratively Equation (33). We obtain the solution for f pζq from solving Equation (34) and now Equations (13) and (14) are now linear therefore, we will apply Chebyshev pseudo-spectral method directly, we get:…”

Section: Methodsmentioning

confidence: 99%

“…They described that entropy generation rate achieved at its maximum point in the absence of porosity and magnetic field. Some more pertinent studies on entropy generation can be found in references [31][32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Entropy Generation with Thermal Radiation on MHD Carreau Nanofluid towards a Shrinking Sheet

Bhatti

Abbas

Rashidi

et al. 2016

Entropy

103

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Abstract:In this article, entropy generation with radiation on non-Newtonian Carreau nanofluid towards a shrinking sheet is investigated numerically. The effects of magnetohydrodynamics (MHD) are also taken into account. Firstly, the governing flow problem is simplified into ordinary differential equations from partial differential equations with the help of similarity variables. The solution of the resulting nonlinear differential equations is solved numerically with the help of the successive linearization method and Chebyshev spectral collocation method. The influence of all the emerging parameters is discussed with the help of graphs and tables. It is observed that the influence of magnetic field and fluid parameters oppose the flow. It is also analyzed that thermal radiation effects and the Prandtl number show opposite behavior on temperature profile. Furthermore, it is also observed that entropy profile increases for all the physical parameters.

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“…This method has been successfully implemented in numerous multiphysical mechanics, fluid dynamics, and heat transfer problems in recent years. These include nonlinear thermal conduction, hypersonic heating in boundary layers, haemotological filtration dynamics, swirl vortex nuclear magnetic propulsion thermodynamics, digestive transport modeling, thermo‐solutal convection in porous media, nanoscale fluid dynamics, micropolar fluid flows, chemically reacting flows in permeable materials, and biomagnetic entropy generation in hemodynamics . DTM has been shown to be very efficient in these studies.…”

Section: Solution Of the Problemmentioning

confidence: 99%

Application of differential transform method to unsteady free convective heat transfer of a couple stress fluid over a stretching sheet

Kumar

Reddy

Kumar

et al. 2018

Heat Trans. Asian Res.

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In the present article, the transient rheological boundary layer flow over a stretching sheet with heat transfer is investigated, a topic of relevance to non‐Newtonian thermal materials processing. Stokes couple stress model is deployed to simulate non‐Newtonian characteristics. Similarity transformations are utilized to convert the governing partial differential equations into nonlinear ordinary differential equations with appropriate wall and free stream boundary conditions. The nondimensional boundary value problem emerging is shown to be controlled by a number of key thermophysical and rheological parameters, namely the rheological couple stress parameter (β), unsteadiness parameter (A), Prandtl number (Pr), buoyancy parameter (λ). The semi‐analytical differential transform method (DTM) is used to solve the reduced nonlinear coupled ordinary differential boundary value problem. A numerical solution is also obtained via the MATLAB built‐in solver “bvp4c” to validate the results. Further validation with published results from the literature is included. Fluid velocity is enhanced with increasing couple stress parameter, whereas it is decreased with unsteadiness parameter. Temperature is elevated with couple stress parameter, whereas it is initially reduced with unsteadiness parameter. The flow is accelerated with increasing positive buoyancy parameter (for heating of the fluid), whereas it is decelerated with increasing negative buoyancy parameter (cooling of the fluid). Temperature and thermal boundary layer thickness are boosted with increasing positive values of buoyancy parameter. Increasing Prandtl number decelerates the flow, reduces temperatures, increases momentum boundary layer thickness, and decreases thermal boundary layer thickness. Excellent accuracy is achieved with the DTM approach.

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Parametric Analysis of Entropy Generation in Magneto-Hemodynamic Flow in a Semi-Porous Channel with OHAM and DTM

Cited by 19 publications

References 43 publications

Entropy generation analysis of radiative heat transfer effects on channel flow of two immiscible couple stress fluids

Entropy generation analysis of radiative heat transfer effects on channel flow of two immiscible couple stress fluids

Numerical Simulation of Entropy Generation with Thermal Radiation on MHD Carreau Nanofluid towards a Shrinking Sheet

Application of differential transform method to unsteady free convective heat transfer of a couple stress fluid over a stretching sheet

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