Second law analysis for Poiseuille flow of immiscible micropolar fluids in a channel

Murthy, J. V. Ramana; Jangili, Srinivas

doi:10.1016/j.ijheatmasstransfer.2013.05.048

Cited by 53 publications

(16 citation statements)

References 25 publications

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“…Continuity equation [3, 39]—

$$\begin{align} \frac{\partial \rho }{\partial t}+\nabla . (\rho {\bf v})=0.

…”

Section: Governing Fluid Flow Equations For the Newtonian And Micropo...mentioning

confidence: 99%

“…Energy equation [3, 39]:

\begin{align} \hspace{-14.22636pt}k_1\frac{{d^2T_1}}{{dy}^2}+{\left[\frac{\mu _1}{\phi _1}{\left(\frac{{du_1}}{{dy}}\right)}^2+\frac{\kappa }{\phi _1}{\left(\frac{{du_1}}{{dy}}+2\omega \right)}^2+\beta {\left(\frac{d\omega }{{dy}}\right)}^2+\sigma _1B^2_0\lambda ^2 {u_1}^2+\frac{\mu _1+\kappa }{K_1}{u_1}^2\right]}=0. \end{align}

Again, because of fully developed flow and continuity equation of incompressible Newtonian viscous fluid, the x‐component of flow velocity will become the function of y‐coordinate only whereas its component in y‐direction will becomes zero that is,

u_2= u_2(y)

.…”

Section: Statement and Solution Of The Proposed Problemmentioning

confidence: 99%

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Heat and mass transfer analysis for MHD non‐miscible micropolar and Newtonian fluid flow in a rectangular porous channel

Kumar

Yadav

2023

Z Angew Math Mech

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The aim of the present work is to examine the entropy production characteristics, thermal profile, and flow behaviour of two non‐miscible natures of Newtonian and micropolar fluids, which take place through a rectangular porous enclosure channel. The flow region is divided into two distinct porous zones of the channel and is subjected to a constant oriented magnetic field. The Eringen's micropolar fluid is taking place in the upper porous zone, whereas in the lower porous zone, the Newtonian fluid is flowing. The wall surface of a rectangular porous channel is isothermal, and the flow of immiscible fluid through a porous channel takes place because of a constant pressure gradient. No slip condition is imposed on the static walls and continuity of vorticity, velocity, shear stress component, thermal distribution, and thermal flux are prescribed at the interface. Here, the production of entropy due to fluid friction and thermal exchange for non‐miscible Newtonian and micropolar fluids is evaluated. The characteristics of various estimated parameters on thermal and flow properties, such as Bejan number distribution, flow velocity, entropy production, and thermal profile, are discussed. The obtained results show that entropy production is directly proportional to viscous dissipation and Reynolds number, whereas it has a reverse nature with micropolarity parameter, inclination angle parameter, and Hartman number. Our results corroborate with previous published results.

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“…Continuity equation [3, 39]—

$$\begin{align} \frac{\partial \rho }{\partial t}+\nabla . (\rho {\bf v})=0.

…”

Section: Governing Fluid Flow Equations For the Newtonian And Micropo...mentioning

confidence: 99%

“…Energy equation [3, 39]:

\begin{align} \hspace{-14.22636pt}k_1\frac{{d^2T_1}}{{dy}^2}+{\left[\frac{\mu _1}{\phi _1}{\left(\frac{{du_1}}{{dy}}\right)}^2+\frac{\kappa }{\phi _1}{\left(\frac{{du_1}}{{dy}}+2\omega \right)}^2+\beta {\left(\frac{d\omega }{{dy}}\right)}^2+\sigma _1B^2_0\lambda ^2 {u_1}^2+\frac{\mu _1+\kappa }{K_1}{u_1}^2\right]}=0. \end{align}

u_2= u_2(y)

.…”

Section: Statement and Solution Of The Proposed Problemmentioning

confidence: 99%

Heat and mass transfer analysis for MHD non‐miscible micropolar and Newtonian fluid flow in a rectangular porous channel

Kumar

Yadav

2023

Z Angew Math Mech

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“…Magnetohydrodynamic (MHD) flow discovered that under asymmetric heating, the channel's core area has the lowest entropy generation and the highest Bejan value. Ramana Murthy and Srinivas 5 explored entropy generation characteristics of two micro‐polar immiscible fluids over a channel.…”

Section: Introductionmentioning

confidence: 99%

Entropy analysis of MHD flow of Jeffrey fluid in an inclined channel

Ramanuja

G.²

2022

Heat Trans

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This study is aimed at investigating the influence of entropy analysis of magnetohydrodynamic flow of Jeffrey fluid in an inclined micro-channel in the presence of thermal radiation and field suction/injection. We have improved the mathematical model of the physical problem under consideration. The designed equations have been solved by applying the shooting-based fourth-order, Runge-Kutta method with the boundary conditions, which describe velocity slip and temperature jump conditions at the fluid-wall inter-face. Numerical efforts are described graphically and mentioned quantitatively concerning different parameters such as Jeffery parameter, Bejan number, and entropy generation embedded in the problem. The numerical results for the expression of the irreversibility ratio are obtained. It is observed that the wall inclination strengthens the entropy production rate in the micro-channel, and the thermal buoyancy layer induces an increase in fluid velocity as suction.

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“…ey used the shooting method to establish the relationship between various parameters. Murthy and Srinivas [9] discussed entropy generation in steady Poiseuille flow of two immiscible micropolar fluids between two horizontal parallel plates of a channel with constant wall temperatures.…”

Section: Introductionmentioning

confidence: 99%

Computational Behavior of Second Law Poiseuille Flow of Micropolar Fluids in a Channel: Analytical Treatment

Mathur

Mishra

Bohra³

et al. 2021

Journal of Mathematics

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The present analysis explores an analytical treatment for the computation of Poiseuille flow of a micropolar fluid in a channel placed in between two horizontal parallel plates. Both the plates are placed at constant wall temperatures. Therefore, the flow region is portioned into two different zones named zone I and zone II. Eringen’s micropolar fluid flow phenomena are taking place assuming no-slip conditions at the interface. Suitable nondimensional variables are imposed for the transformation of governing equations. Analytical treatment is carried out employing the in-house symbolic command using the MAPLE software. The behavior of several contributing parameters such as material parameters, the couple stresses for both the zones on the velocity, and microrotation profiles are investigated and presented via graphs. The volume flow rate is also calculated and presented via the tabular form. The major outcomes of the results are presented as the higher the Reynolds number, the rate increases significantly. The profile is tiled near the central region with a pick starting from the lower plate region to the central region in zone I and retards from the central region to the upper plate in the zone II, and the profiles of angular momentum seem to be symmetric in nature about the central region that is shown in both the zones.

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Second law analysis for Poiseuille flow of immiscible micropolar fluids in a channel

Cited by 53 publications

References 25 publications

Heat and mass transfer analysis for MHD non‐miscible micropolar and Newtonian fluid flow in a rectangular porous channel

Heat and mass transfer analysis for MHD non‐miscible micropolar and Newtonian fluid flow in a rectangular porous channel

Entropy analysis of MHD flow of Jeffrey fluid in an inclined channel

Computational Behavior of Second Law Poiseuille Flow of Micropolar Fluids in a Channel: Analytical Treatment

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