Applied Mathematics and Mechanics

, Volume 34, Issue 8, pp 985-1000

Transient analysis of diffusive chemical reactive species for couple stress fluid flow over vertical cylinder

  • H. P. RaniAffiliated withDepartment of Mathematics, National Institute of Technology
  • , G. J. ReddyAffiliated withDepartment of Mathematics, National Institute of Technology
  • , C. N. KimAffiliated withDepartment of Mechanical Engineering, College of Advanced Technology (Industrial Liaison Research Institute), Kyung Hee University Email author 

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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.

Key words

couple stress fluid chemical reaction natural convection vertical cylinder finite difference method

Chinese Library Classification

O175.7 O414.14

2010 Mathematics Subject Classification

78M20 80A20 80A32