Volume 30 Issue 1
Jan.  2015
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ZHAO Guo-chang, SHAN Long, SONG Li-ping, DU Xia, KONG Jing-ru, ZHAO Heng. Coupling solutions of flow and heat transfer in the Blasius laminar boundary layer flow over a vertical flat plate[J]. Journal of Aerospace Power, 2015, 30(1): 1-9. doi: 10.13224/j.cnki.jasp.2015.01.001
Citation: ZHAO Guo-chang, SHAN Long, SONG Li-ping, DU Xia, KONG Jing-ru, ZHAO Heng. Coupling solutions of flow and heat transfer in the Blasius laminar boundary layer flow over a vertical flat plate[J]. Journal of Aerospace Power, 2015, 30(1): 1-9. doi: 10.13224/j.cnki.jasp.2015.01.001

Coupling solutions of flow and heat transfer in the Blasius laminar boundary layer flow over a vertical flat plate

doi: 10.13224/j.cnki.jasp.2015.01.001
  • Received Date: 2014-09-21
  • Publish Date: 2015-01-28
  • The combined effects of thermal radiation, temperature dependent viscosity, slip and no-slip boundary conditions over a permeable vertical flat plate on the dimensionless velocity and temperature fields of Blasius laminar boundary layer flow were deeply investigated. By taking similarity variables, the coupled partial differential equations describing the velocity and temperature fields were transformed into nonlinear ordinary differential equations, and then solved numerically using the Runge-Kutta method. The effects of dimensionless parameters on the velocity and temperature fields were investigated with a focus on the analysis of velocity and temperature profiles, with the dimensionless parameters varying under the slip boundary condition. The results indicate that the existence of suction will make the boundary layer thinner, and the boundary layer will be thicker in the case of injection. In contrast with no-slip boundary conditions, the boundary layers of velocity and temperature are all thinner at wall slip boundary conditions. Increasing either the variable viscosity parameter a or the injection and suction parameter will increase the local skin friction coefficient and the local Nusselt number Nu while reducing the velocity and temperature boundary layers thickness. Furthermore, the temperature boundary layer thickness will decrease as the Biot number Bi, Brinkmann number Br decrease or as the Prandtl number Pr and thermal radiation parameter R increase.

     

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