An analysis is performed to study the role of a variable thermal conductivity on unsteady free convection in a micro-polar fluid past a semi-infinite vertical cylinder with variable surface temperature in the presence of magnetic filed and radiation. The surface temperature is measured to vary as a power of the axial coordinate measured from the leading edge of the cylinder. The governing non-linear partial differential equations are transformed into a linear algebraic system utilizing Chebyshev collocation method in spatial and Crank-Nicolson method in time. Numerical results for the velocity, angular velocity and temperature profiles as well as for the local skin friction, couple stress and Nusselt number are obtained and reported in tabular form and graphically for various parametric conditions to show interesting aspects of the solution. The velocity and temperature profiles are compared with the available results in the literature and it is found to be in good agreement.
Elgazery, Nasser S. and Abd Elazem, Nader Y.
Chebyshev Collocation Method for the Effect of Variable Thermal Conductivity on Micropolar Fluid Flow over Vertical Cylinder with Variable Surface Temperature,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 3,
2, Article 10.
Available at: https://digitalcommons.pvamu.edu/aam/vol3/iss2/10