Nonlinear three-dimensional stretched flow of an Oldroyd-B fluid with convective condition, thermal radiation, and mixed convection  

作　　者：B. MAHANTHESH B. J. GIREESHA S.A. SHEHZAD F.M. ABBASI R. S. R. GORLA 

机构地区：[1]Department of Mathematics, Christ University, Bangalore 560029, Karnataka, India [2]Department of Studies and Research in Mathematics, Kuvempu University, Shankarghatta 577451, Karnataka, India [3]Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan [4]Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan [5]Department of Mechanical and Civil Engineering, Purdue University Northwest, Indiana 46391, U. S. A

出　　处：《Applied Mathematics and Mechanics(English Edition)》2017年第7期969-980,共12页应用数学和力学（英文版）

摘　　要：The effect of non-linear convection in a laminar three-dimensional Oldroyd-B fluid flow is addressed. The heat transfer phenomenon is explored by considering the non-linear thermal radiation and heat generation/absorption. The boundary layer as- sumptions are taken into account to govern the mathematical model of the flow analy- sis. Some suitable similarity variables are introduced to transform the partial differen- tial equations into ordinary differential systems. fifth-order techniques with the shooting method The Runge-Kutta-Fehlberg fourth- and are used to obtain the solutions of the dimensionless velocities and temperature. The effects of various physical parameters on the fluid velocities and temperature are plotted and examined. A comparison with the exact and homotopy perturbation solutions is made for the viscous fluid case, and an excellent match is noted. The numerical values of the wall shear stresses and the heat transfer rate at the wall are tabulated and investigated. The enhancement in the values of the Deborah number shows a reverse behavior on the liquid velocities. The results show that the temperature and the thermal boundary layer are reduced when the non- linear convection parameter increases. The values of the Nusselt number are higher in the non-linear radiation situation than those in the linear radiation situation.The effect of non-linear convection in a laminar three-dimensional Oldroyd-B fluid flow is addressed. The heat transfer phenomenon is explored by considering the non-linear thermal radiation and heat generation/absorption. The boundary layer as- sumptions are taken into account to govern the mathematical model of the flow analy- sis. Some suitable similarity variables are introduced to transform the partial differen- tial equations into ordinary differential systems. fifth-order techniques with the shooting method The Runge-Kutta-Fehlberg fourth- and are used to obtain the solutions of the dimensionless velocities and temperature. The effects of various physical parameters on the fluid velocities and temperature are plotted and examined. A comparison with the exact and homotopy perturbation solutions is made for the viscous fluid case, and an excellent match is noted. The numerical values of the wall shear stresses and the heat transfer rate at the wall are tabulated and investigated. The enhancement in the values of the Deborah number shows a reverse behavior on the liquid velocities. The results show that the temperature and the thermal boundary layer are reduced when the non- linear convection parameter increases. The values of the Nusselt number are higher in the non-linear radiation situation than those in the linear radiation situation.

关 键 词：nonlinear thermal convection nonlinear thermal radiation Oldroyd-B fluid convective boundary condition heat source/sink 

分 类 号：O373[理学—流体力学]