Viscous dissipation and joule heating effect on MHD flow and heat transfer past a stretching sheet embedded in a porous medium

Swain, Bharat Keshari; Parida, Baman; Kar, Sanjay Kumar; Senapati, N.

doi:10.1016/j.heliyon.2020.e05338

Cited by 86 publications

(34 citation statements)

References 31 publications

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“…Also, it was evident that the effect of magnetic field parameter reduces the velocity profile far away from the plate and reverse phenomenon is observed near the plate. In the recent work B.K Swain et al [15] velocity profile diminishes when the magnetic parameter increases and also the rate of heat transfer diminishes as thickness leads to low heat transfer coefficient. However, the purpose of the present investigation is to look at the effects of velocity slip on MHD power-law fluid over a moving surface with heat generation.…”

Section: Introductionmentioning

confidence: 95%

Velocity Slip Effect on MHD Power-Law Fluid over a Moving Surface with Heat Generation, Viscous Dissipation and Thermal Radiation

Ayodeji

Pele

2021

JERR

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The problem of laminar boundary layer flow of power-law fluid over a continuous moving surface in the presence of a transverse magnetic field with velocity slip was investigated. The governing partial differential equations for the flow and heat transfer were transformed into non-linear ordinary differential equations using the similarity method. These equations were solved numerically by applying the fourth-order Runge-Kutta method with a shooting technique. The solution is found to be dependent on various parameters such as power-law index, magnetic field parameter, suction, and injection parameters. The effect of various flow parameters in the form of dimensionless quantities on the flow field is discussed and graphically presented. It was observed that an increase in the magnetic property results to a decrease flow of fluid velocity and also, an increase in the Prandtl number results to an increase in the rate of heat transfer.

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Section: Introductionmentioning

confidence: 95%

Velocity Slip Effect on MHD Power-Law Fluid over a Moving Surface with Heat Generation, Viscous Dissipation and Thermal Radiation

Ayodeji

Pele

2021

JERR

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“…Stretching sheets because of their wide applications like plastic film, metal drawing and spinning, glass fiber, paper processing, and heat moving have become an important topic in the past decades. Recently, some researchers investigated the magnetohydrodynamic flow with the different effects such as viscous dissipation and chemical reaction using stretching sheet (see Ismail et al [17], Rajput et al [18], Swain et al [19], Reddy et al [20], Jat and Chand [21], Sajid and Hayat [22], Ishak [23], Abd El-Aziz [24], Makinde [25], and Goud et al [26]).…”

Section: Introductionmentioning

confidence: 99%

Bioconvection Flow of MHD Viscous Nanofluid in the Presence of Chemical Reaction and Activation Energy

Asjad

Zahid

Jarad

et al. 2022

Mathematical Problems in Engineering

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Enhancement of heat transfer due to stretching sheets can be appropriately controlled by the movement of the nanofluids. The concentration and settling of the nanoparticles in the viscous MHD fluid and bioconvection are addressed. In this scenario, the fluid flow occurring in the presence of a normal and uniform magnetic field, thermal radiation, and chemical reaction is taken into account. For the two-dimensional flow with heat and mass transfer, five dependent variables and three independent variables constitute the system of partial differential equations. For this purpose, similarity functions are involved to convert these equations to corresponding ODEs. Then, the Runge–Kutta method with shooting technique is used to evaluate the required findings with the utilization of MATLAB script. The fluid velocity becomes slow against the strength of the magnetic parameter. The temperature rises with the parameter of Brownian motion and thermophoresis. The bioconvection Lewis number diminishes the velocity field. Compared with the existing literature, the results show satisfactory congruences.

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“…Abdelmalek et al (2020) analyzed Joule heating and thermal radiation for nanomaterial flow by a stretched surface. Swain et al (2020) studied Joule heating, MHD and dissipative effects on flow embedded in porous medium. Joule heating, chemical reactions and MHD influences in flow by stretched surface is elaborated by Dawar et al (2021).…”

Section: Introductionmentioning

confidence: 99%

Joule heating in squeezed flow of hybrid nanomaterial via FDM with Cattaneo–Christov (C–C) heat flux

Muhammad

Hayat

Ahmad

2022

HFF

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Purpose This study aims to explore the combined impacts of velocity and thermal slips on hybrid nanomaterial (GO+Ag+kerosene oil) bounded between two parallel infinite walls (plates). Both the walls are separated by a distance. The upper wall is subjected to squeezing with velocity, while the lower wall stretches with velocity. A uniform magnetic field acts normally to the flow. Moreover, heat transmission is analyzed in the presence of Joule heating. Heat transport characteristics are investigated by imposing the Cattaneo–Christov (C–C) heat flux model. The behavior of velocities, skin friction and temperature under sundry variables are examined graphically. Design/methodology/approach The obtained partial differential equations (PDEs) related to the considered problem are nondimensionalized by choosing appropriated variables. These nondimensional PDEs are then solved by the numerical technique, finite difference method (FDM). For implementation of this method, the obtained nondimensional PDEs are converted into finite difference equations (FDEs) using forward difference (FD) toolkits. Findings Velocity of the hybrid nanomaterial decreases with higher Hartman number and velocity slip parameter, while it increases with increase in Reynolds and squeezing numbers. Temperature of the hybrid nanomaterial increases for large Hartman number, Eckert number and squeezing parameter, while it is reduced by higher thermal slip parameter, thermal relaxation time parameter and nanoparticle volume fractions for graphene oxide (GO) and silver (Ag). Skin friction is controlled through higher Reynolds number, while it intensifies with nanoparticle volume fractions for GO and Ag. Originality/value Here, the authors have investigated 2D flow of hybrid nanomaterial bounded between two parallel walls. The lower and upper walls are subjected to stretching and squeezing, respectively. The authors guarantee that all outcomes and numerical technique (FDM) results are original, neither submitted nor published in any journal before.

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Viscous dissipation and joule heating effect on MHD flow and heat transfer past a stretching sheet embedded in a porous medium

Cited by 86 publications

References 31 publications

Velocity Slip Effect on MHD Power-Law Fluid over a Moving Surface with Heat Generation, Viscous Dissipation and Thermal Radiation

Velocity Slip Effect on MHD Power-Law Fluid over a Moving Surface with Heat Generation, Viscous Dissipation and Thermal Radiation

Bioconvection Flow of MHD Viscous Nanofluid in the Presence of Chemical Reaction and Activation Energy

Joule heating in squeezed flow of hybrid nanomaterial via FDM with Cattaneo–Christov (C–C) heat flux

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