Flow and heat transfer of couple stress fluid in a vertical channel in the presence of heat source/sink
作者： Jawali Umavathi , Jada Prathap Kumar , Ioan Pop , Murudappa Shekar
关键词: Natural convection 、 Nusselt number 、 Mechanics 、 Biot number 、 Thermodynamics 、 Combined forced and natural convection 、 Film temperature 、 Physics 、 Brinkman number 、 Laminar flow 、 Heat generation
摘要: Purpose The purpose of this paper is to consider the problem fully developed laminar mixed convection flow a couple stress fluid in vertical channel with third-kind boundary conditions presence or absence heat source/sink effect. Design/methodology/approach Through proper choice dimensionless variables, governing equations are developed. These solved analytically by differential transform method and numerically Runge–Kutta shooting method. Analytical solutions for velocity temperature profiles generation absorption reported. Findings The mass rate Nusselt numbers at both left right walls on parameter, Brinkman number, parameter generation/absorption equal unequal Biot presented. Favorable comparisons special cases previously published work obtained. It found that velocity, temperature, number decrease increase number. Originality/value The done not earlier authors’ knowledge. This first which sixth-order equation using semi-numerical method,
sci-hub.se 参考文章(33)
Ali J. Chamkha, Hydromagnetic two-phase flow in a channel International Journal of Engineering Science. ,vol. 33, pp. 437- 446 ,(1995) , 10.1016/0020-7225(93)E0006-Q
Jaw-Ren Lin, Effects of couple stresses on the lubrication of finite journal bearings Wear. ,vol. 206, pp. 171- 178 ,(1997) , 10.1016/S0043-1648(96)07357-7
Mohammad Mehdi Rashidi, Najib Laraqi, Seyed Majid Sadri, A novel analytical solution of mixed convection about an inclined flat plate embedded in a porous medium using the DTM-Padé International Journal of Thermal Sciences. ,vol. 49, pp. 2405- 2412 ,(2010) , 10.1016/J.IJTHERMALSCI.2010.07.005
A.S.V. Ravi Kanth, K. Aruna, Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations Chaos Solitons & Fractals. ,vol. 41, pp. 2277- 2281 ,(2009) , 10.1016/J.CHAOS.2008.08.037
Fatma Ayaz, On the two-dimensional differential transform method Applied Mathematics and Computation. ,vol. 143, pp. 361- 374 ,(2003) , 10.1016/S0096-3003(02)00368-5
J. C. Umavathi, J. Prathap Kumar, Jaweriya Sultana, Mixed convection flow in vertical channel with boundary conditions of third kind in presence of heat source/sink Applied Mathematics and Mechanics-english Edition. ,vol. 33, pp. 1015- 1034 ,(2012) , 10.1007/S10483-012-1602-8
J. Prathap Kumar, J.C. Umavathi, Ali J. Chamkha, Ioan Pop, Fully-developed free-convective flow of micropolar and viscous fluids in a vertical channel Applied Mathematical Modelling. ,vol. 34, pp. 1175- 1186 ,(2010) , 10.1016/J.APM.2009.08.007
Ali J. Chamkha, Unsteady laminar hydromagnetic flow and heat transfer in porous channels with temperature‐dependent properties International Journal of Numerical Methods for Heat & Fluid Flow. ,vol. 11, pp. 430- 448 ,(2001) , 10.1108/EUM0000000005529
P Gaur, N C Mahanti, Effects of Varying Viscosity and Thermal Conductivity on Steady Free Convective Flow and Heat Transfer Along an Isothermal Vertical Plate in the Presence of Heat Sink JOURNAL OF APPLIED FLUID MECHANICS (JAFM). ,vol. 2, pp. 23- 28 ,(2009)
Prawal Sinha, Chandan Singh, Effects of couple stresses on the blood flow through an artery with mild stenosis. Biorheology. ,vol. 21, pp. 303- 315 ,(1984) , 10.3233/BIR-1984-21302