Multiple solutions of MHD boundary layer flow and heat transfer behavior of nanofluids induced by a power-law stretching/shrinking permeable sheet with viscous dissipation

Dhanai, Ruchika; Rana, Puneet; Kumar, Lalit

doi:10.1016/j.powtec.2014.12.035

Cited by 90 publications

(57 citation statements)

References 40 publications

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“…Problem is formulated and then solved by RK4 method using shooting technique. 37,38 The validity of the present code is verified on the earlier published work. 39 Effect of variable thermal conductivity parameter on velocity, temperature and nanoparticle volume fraction profiles and influences of non-uniform heat source/sink parameters on temperature distribution have been displayed graphically.…”

Section: Introductionsupporting

confidence: 70%

Mixed convection flow with non-uniform heat source/sink in a doubly stratified magnetonanofluid

2016

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Heat and mass transfer analysis of unsteady MHD nanofluid flow through a channel with moving porous walls and medium AIP Advances 6, 045222 (2016) In this study, we explore the unsteady flow of viscous nanofluid driven by an inclined stretching sheet. The novelty of the present study is to account for the effect of a non-uniform heat source/sink in a thermally and solutally stratified magnetonanofluid. Governing system of nonlinear partial differential equations is converted into a system of nonlinear ordinary differential equations. Solution of the transformed system is obtained using RK4 method with shooting technique. It is observed that increase in the values of thermal and mass stratification parameter reduce the velocity profile and increase in the values of variable thermal conductivity parameter and non-uniform heat source/sink parameters enhance the temperature distribution. Moreover, skin friction coefficient, Nusselt number and Sherwood number are discussed. Obtained results are displayed both graphically and in tabular form to illustrate the effect of different parameters on the velocity, temperature and concentration profiles. Numerical results are compared with previous published results and found to be in good agreement for special cases of the emerging parameters. C 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license

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Section: Introductionsupporting

confidence: 70%

Mixed convection flow with non-uniform heat source/sink in a doubly stratified magnetonanofluid

2016

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“…The flow is subjected to a variable magnetic field of strength B(x) = B 0 x (n−1)/2 . 36 The electric field is absent whereas the induced magnetic field is neglected by assuming low magnetic Reynolds number. The temperature of the sheet is described by a function T w (x) = T ∞ + Ax n where A > 0 is constant and T ∞ is the ambient fluid temperature.…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…Several interesting studies pertaining to the flow and heat transfer characteristics in nanofluids have been presented in recent years (see Refs. [23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Model for flow of Casson nanofluid past a non-linearly stretching sheet considering magnetic field effects

2015

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Present work deals with the magneto-hydro-dynamic flow and heat transfer of Casson nanofluid over a non-linearly stretching sheet. Non-linear temperature distribution across the sheet is considered. More physically acceptable model of passively controlled wall nanoparticle volume fraction is accounted. The arising mathematical problem is governed by interesting parameters which include Casson fluid parameter, magnetic field parameter, power-law index, Brownian motion parameter, thermophoresis parameter, Prandtl number and Schmidt number. Numerical solutions are computed through fourth-fifth-order-Runge-Kutta integration approach combined with the shooting technique. Both temperature and nanoparticle volume fraction are increasing functions of Casson fluid parameter.

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“…Chakrabarti and Gupta (1979) have analyzed the MHD flow and heat transfer over a stretching sheet. Dual solutions for MHD boundary layer flow of nano fluids induced by a power-law stretching or shrinking permeable sheet in presence of viscous dissipation was studied by Dhanai et al (2015). presented a numerical solution for steady free convection flow of a power-law fluid from a heated spheroidal particle.…”

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confidence: 99%

Dual solutions for radiative MHD forced convective flow of a nanofluid over a slendering stretching sheet in porous medium

Sulochana¹,

Sandeep

2015

J. nav. arch. mar. engg.

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Multiple solutions of MHD boundary layer flow and heat transfer behavior of nanofluids induced by a power-law stretching/shrinking permeable sheet with viscous dissipation

Cited by 90 publications

References 40 publications

Mixed convection flow with non-uniform heat source/sink in a doubly stratified magnetonanofluid

Mixed convection flow with non-uniform heat source/sink in a doubly stratified magnetonanofluid

Model for flow of Casson nanofluid past a non-linearly stretching sheet considering magnetic field effects

Dual solutions for radiative MHD forced convective flow of a nanofluid over a slendering stretching sheet in porous medium

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