Flow and heat transfer analysis of magnetohydrodynamic (MHD) second-grade fluid in a channel with a porous wall

Priyadarsan, K. P.; Panda, Satyananda

doi:10.1007/s40430-017-0715-y

Cited by 8 publications

(6 citation statements)

References 38 publications

(53 reference statements)

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“…The objective of current section is to analyse and discuss the effects of pertinent parameters on the flow variables. Figures 5,6,7,8,9,10,11,12,13,14,15,16,17,18,19, 20 and 21 display the velocity, microrotation and temperature profiles for several sets of parameters appearing in the problem. The numerical study regarding volume flow rate is presented through Table 1.…”

Section: Resultsmentioning

confidence: 99%

“…Ramesh and Devakar [16] discussed the influence of heat transfer on the peristaltic transport of Walters B fluid in an inclined annulus. Priyadarsan and Panda [17] studied the flow and heat transfer analysis of magnetohydrodynamic second-grade fluid in a channel with a porous wall. Recently, flow and heat transfer of micropolar fluid through different geometries has been studied by several authors [18,19].…”

Section: Introductionmentioning

confidence: 99%

“…16,17,18,19, 20 and 21 depict the effect of diverse fluid parameters on fluid temperature profiles. The nonlinear viscous dissipation terms, which are dependent on the fluid velocities and microrotation, are not ignored during this study; hence, the obtained results may be considered as more realistic.…”

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confidence: 99%

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Modelling and analysis of the unsteady flow and heat transfer of immiscible micropolar and Newtonian fluids through a pipe of circular cross section

Devakar

Raje

2018

J Braz. Soc. Mech. Sci. Eng.

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This study deals with the unsteady flow and heat transfer of micropolar and Newtonian fluids, flowing immiscibly through a circular pipe. The micropolar and Newtonian fluids occupy core and peripheral regions, respectively. Initially, the pipe and fluids in both regions are at rest; after an instant of time, a constant pressure gradient is applied to generate the flow. The equations governing the flow are time dependent, coupled and nonlinear. The solutions for velocity, microrotation and temperature are acquired numerically employing Crank-Nicolson finite difference approach. Volume flow rate is also obtained numerically and presented in tabular form. At fluid-fluid interface, continuity of velocities, shear stresses, temperatures and heat fluxes are considered. The results for velocity, microrotation and temperature are displayed graphically. It is seen that the fluid velocities, microrotation and temperatures are increasing with time and attain a steady state after a particular time level. The micropolarity parameter has a decreasing effect on the fluid velocities and temperatures.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modelling and analysis of the unsteady flow and heat transfer of immiscible micropolar and Newtonian fluids through a pipe of circular cross section

Devakar

Raje

2018

J Braz. Soc. Mech. Sci. Eng.

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“…The concept of MHD was reported by Alfven. Owing to the importance of the aforesaid applications, plenty of theoretical examinations have been made by many authors (Jian, 2015;Reddy et al, 2015;Jha et al, 2015;Jha et al, 2017;Kaladhar et al, 2016;Makinde et al, 2016;Priyadarsan and Panda, 2017;Sindhu et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Entropy analysis of Poiseuille nanofluid flow in a porous channel with slip and convective boundary conditions under magnetic field

Das

Chakraborty

Jana

2021

WJE

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Purpose This study aims to expose the flow phenomena and entropy generation during a; magnetohydrodynamic (MHD) Poiseuille flow of water-based nanofluids (NFs) in a porous channel subject to hydrodynamic slip and convective heating boundary conditions. The flow caused by the uniform pressure; gradient between infinite parallel plates is considered steady and fully developed. The nanoparticles; namely, copper, alumina and titanium oxide are taken with pure water as the base fluid. Viscous dissipation and Joule heating impacts are also incorporated in this investigation. Design/methodology/approach The reduced governing equations are solved analytically in closed form. The physical insights of noteworthy parameters on the important flow quantities are demonstrated through graphs and analyzed elaborately. The thermodynamic analysis is performed by calculating entropy generation; rate and Bejan number. A graphical comparison between solutions corresponding to NFs and regular fluid in the channel is also provided. Findings The analysis of the results divulges that entropy generation minimization can be achieved by an appropriate combination of the geometrical and physical parameters of thermomechanical systems. It is reported that ascent in magnetic parameter number declines the velocity profiles, while the inverse pattern is witnessed with augmentation in hydrodynamic slip parameters. The temperature dissemination declines with the growth of Biot numbers. It is perceived that the entropy generation rate lessens with an upgrade in magnetic parameter, whereas the reverse trend of Bejan number is perceived with expansion in magnetic parameter and Biot number. The important contribution of the result is that the entropy generation rate is controlled with an appropriate composition of thermo-physical parameter values. Moreover, in the presence of a magnetic field and suction/injection at the channel walls, the shear stresses at the channel walls are reduced about two times. Practical implications In various industrial applications, minimizing entropy generation plays a significant role. Miniaturization of entropy is the utilization of the energy of thermal devices such as micro heat exchangers, micromixers, micropumps and cooling microelectromechanical devices. Originality/value An attentive review of the literature discloses that quite a few studies have been conducted on entropy generation analysis of a fully developed MHD Poiseuille flow of NFs through a permeable channel subject to the velocity slip and convective heating conditions at the walls.

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“…Raftari et al have examined magnetohydrodynamic (MHD) second‐grade fluid flow in a porous channel and used Homotopy analysis method (HAM) to solve reduced ordinary differential equations. Priyadarsan and Panda have focused on heat transfer of steady MHD second grade fluid flow in a porous parallel channel. Hayat et al have considered the steady squeezing flow of second‐grade fluid flow with variable thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

Second law analysis for chemically reacting natural convective second‐grade fluid flow between porous parallel plates with Hall and Ion slip

Ramesh

Ojjela

2019

Heat Trans. Asian Res.

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In this article, we performed the entropy generation of free convective chemically reacting second‐grade fluid confined between parallel plates in the influence of the Hall and Ion slip with heat and mass fluxes. Let there be a periodic suction/injection along with the plates, the governing flow field equations are reduced as a set of coupled nonlinear ordinary differential equations by using appropriate similarity transformations then solved numerically with shooting method based on Runge‐Kutta 4th order scheme. The results are analyzed for velocity in axial and radial directions, temperature distribution, concentration distribution, entropy generation number, Bejan number, mass and heat transfer rates with respect to distinct geometric, and fluid parameters and shown graphically and tables. It is observed that the entropy generation is enhanced with Prandtl number, whereas decreases with a second‐grade parameter, the effects of Hall and Ion slip parameters on velocity components, temperature and entropy generation number are the same. The entropy generation number the fluid is enhanced with the suction‐injection parameter whereas, the concentration of the fluid decreases with the increasing of chemical reaction parameter.

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Flow and heat transfer analysis of magnetohydrodynamic (MHD) second-grade fluid in a channel with a porous wall

Cited by 8 publications

References 38 publications

Modelling and analysis of the unsteady flow and heat transfer of immiscible micropolar and Newtonian fluids through a pipe of circular cross section

Modelling and analysis of the unsteady flow and heat transfer of immiscible micropolar and Newtonian fluids through a pipe of circular cross section

Entropy analysis of Poiseuille nanofluid flow in a porous channel with slip and convective boundary conditions under magnetic field

Second law analysis for chemically reacting natural convective second‐grade fluid flow between porous parallel plates with Hall and Ion slip

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