| 1 | Transient analysis of diffusive chemical reactive species for couple stress fluid flow over vertical cylinder显示文摘The unsteady natural convective couple stress fluid flow over a semi-infinite vertical cylinder is analyzed for the homogeneous first-order chemical reaction effect.The couple stress fluid flow model introduces the length dependent effect based on the material constant and dynamic viscosity.Also, it introduces the biharmonic operator in the Navier-Stokes equations, which is absent in the case of Newtonian fluids.The solution to the time-dependent non-linear and coupled governing equations is carried out with an unconditionally stable Crank-Nicolson type of numerical schemes.Numerical results for the transient flow variables, the average wall shear stress, the Nusselt number, and the Sherwood number are shown graphically for both generative and destructive reactions.The time to reach the temporal maximum increases as the reaction constant K increases.The average values of the wall shear stress and the heat transfer rate decrease as K increases, while increase with the increase in the Sherwood number. | H.P.RANI G.J.REDDY C.N.KIM | 2013 | Applied Mathematics and Mechanics(English Edition)2013，34，8： | 2 |
| 2 | The efect of the couple stress parameter and Prandtl number on the transient natural convection flow over a vertical cylinder显示文摘An analysis is performed to study transient free convective boundary layer flow of a couple stress fluid over a vertical cylinder, in the absence of body couples. The solution of the time-dependent non-linear and coupled governing equations is carried out with the aid of an unconditionally stable Crank–Nicolson type of numerical scheme. Numerical results for the steady-state velocity, temperature as well as the time histories of the skin-friction coefcient and Nusselt number are presented graphically and discussed. It is seen that for all flow variables as the couple stress control parameter, Co, is amplified, the time required for reaching the temporal maximum increases but the steady-state decreases. | H.P.Rani G.Janardhana Reddy Chang Nyung Kim | 2013 | Acta Mechanica Sinica2013，29，5： | 0 |
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