Flow of Casson nanofluid with viscous dissipation and convective conditions: A mathematical model

Tarique Hussain1, Sabir Ali Shehzad2, Ahmed Alsaedi3, Tasawar Hayat3, Muhammad Ramzan1
1Department of Mathematics, Faculty of Computing, Mohammad Ali Jinnah University, Islamabad Campus, 44000, Pakistan
2Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan
3Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia

Tóm tắt

Từ khóa


Tài liệu tham khảo

SHARMA A, TYAGI V V, CHEN C R, BUDDHI D. Review on thermal energy storage with phase change materials and applications [J]. Renewable and Sustainable Energy Review, 2009, 13: 318–345.

CHOI S U S, EASTMAN J A. Enhancing thermal conductivity of fluids with nanoparticles [C]// ASME Internatimal Mechanical Engineering Congress & Exposition. San Francisco, 1995, 66: 99–105.

HOSSEINI M, GHADER S. A model for temperature and particle volume fraction effect on nanofluid viscosity [J]. Journal of Molecular Liquids, 2010, 153: 139–145.

KANDASAMY R, LONGATHAN P, ARASU P P. Scaling group transformation for MHD boundary-layer flow of a nanofluid past a vertical stretching surface in the presence of suction/injection [J]. Nuclear Engineering and Design, 2011, 241: 2053–2059.

KAMESWARAN P K, NARAYANA M, SIBANDA P, MURTHY P V S N. Hydromagnetic nanofluid flow due to a stretching or shrinking sheet with viscous dissipation and chemical reaction effects [J]. International Journal of Heat and Mass Transfer, 2012, 55: 7587–7595.

TURKYILMAZOGLU M. Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids [J]. Chemical Engineering Science, 2012, 84: 182–187.

RASHIDI M M, ABELMAN S, MEHR N F. Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid [J]. International Journal of Heat and Mass Transfer, 2013, 62: 515–525.

HATAMI M, NOURI R, GANJI D D. Forced convection analysis for MHD Al2O3-water nanofluid flow over a horizontal plate [J]. Journal of Molecular Liquids, 2013, 187: 294–301.

MAKINDE O D, KHAN W A, KHAN Z H. Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet [J]. International Journal of Heat and Mass Transfer, 2013, 62: 526–533.

HATAMI M, GANNJI D D. Heat transfer and flow analysis for SA-TiO2 non-Newtonian nanofluid passing through the porous media between two coaxial cylinders [J]. Journal of Molecular Liquids, 2013, 188: 155–161.

MOTSA S S, SHATEYI S, MUKUKULA Z. Homotopy analysis of free convection boundary layer flow with heat and mass transfer [J]. Chemical Engineering Communications, 2011, 198: 783–795.

MAHMOOD M, ASGHAR S, HOSSAIN M A. Transient mixed convection flow arising due to thermal and mass diffusion over porous sensor surface inside squeezing horizontal channel [J]. Applied Mathematics and Mechanics: English Edition, 2013, 34: 97–112.

TURKYILMAZOGLU M. Heat and mass transfer of MHD second order slip flow [J]. Computers & Fluids, 2013, 71: 426–434.

ALSAADI F E, SHEHZAD S A, HAYAT T, MONAQUEL S J. Soret and Dufour effects on the unsteady mixed convection flow over a stretching surface [J]. Journal of Mechanics, 2013, 29: 623–632.

FERDOWS M, UDDIN Md J, AFIFY A A. Scaling group transformation for MHD boundary layer free convective heat and mass transfer flow past a convectively heated nonlinear radiating stretching sheet [J]. International Journal of Heat and Mass Transfer, 2013, 56: 181–187.

AZIZ A. A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition [J]. Communications in Nonlinear Sciences and Numerical Simulation, 2009, 14: 1064–1068.

MAKINDE O D, AZIZ A. MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition [J]. International Journal of Thermal Sciences, 2010, 49: 1813–1820.

HAMAD M A A, UDDIN Md J, ISMAIL A I Md. Investigation of combined heat and mass transfer by Lie group analysis with variable diffusivity taking into account hydrodynamic slip and thermal convective boundary conditions [J]. International Journal of Heat and Mass Transfer, 2012, 55: 1355–1362.

SHEHZAD S A, ALSAEDI A, HAYAT T. Three-dimensional flow of Jeffery fluid with convective surface boundary conditions [J]. International Journal of Heat and Mass Transfer, 2012, 55: 3971–3976.

HAYAT T, WAQAS M, SHEHZAD S A, ALSAEDI A. Mixed convection radiative flow of Maxwell fluid near a stagnation point with convective condition [J]. Journal of Mechanics, 2013, 29: 403–409.

MAKINDE O D, AZIZ A. Boundary layer flow of nanofluid past a stretching sheet with a convective boundary condition [J]. International Journal of Thermal Sciences, 2011, 50: 1326–1332.

ALSAEDI A, AWAIS M, HAYAT T. Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions [J]. Communications in Nonlinear Sciences and Numerical Simulation, 2012, 17: 4210–4223.

SHAHMOHAMADI H. Analytic study on non-Newtonian natural convection boundary layer flow with variable wall temperature on a horizontal plate [J]. Meccanica, 2012, 47: 1313–1323.

HAYAT T, SHEHZAD S A, ALSAEDI A. Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid [J]. Applied Mathematics and Mechanics: English Edition, 2012, 33: 1301–1312.

MUKHOPADHYAY S, VAJRAVELU K, van GORDER R A. Casson fluid flow and heat transfer at an exponentially stretching permeable surface [J]. Journal of Applied Mechanics, 2013, 80: 054502.

LIAO S J. Homotopy analysis method in nonlinear differential equations [M]. Heidelberg: Springer & Higher Education Press, 2012.

TURKYILMAZOGLU M. Solution of the Thomas-Fermi equation with a convergent approach [J]. Communications in Nonlinear Sciences and Numerical Simulation, 2012, 17: 4097–4103.

ABBASBANDY S, HASHEMI MS, HASHIM I. On convergence of homotopy analysis method and its application to fractional integro-differential equations [J]. Quaestiones Mathematicae, 2013, 36: 93–105.

HASSAN N, RASHIDI M M. An analytic solution of micro polar flow in a porous channel with mass injection using homotopy analysis method [J]. International Journal of Numerical Methods for Heat & Fluid Flow, 2014, 24: 419–437.

SHEHZAD S A, HAYAT T, ALHUTHALI M S, ASGHAR S. MHD three-dimensional flow of Jeffrey fluid with Newtonian heating [J]. Journal of Central South University, 2014, 21: 1428–1433.