Heat and mass transfer effects of Casson fluid in the entrance of concentric annuli with moviment of inner wall was analyzed here. The problem analysis concerns the simultaneous development of thermal boundary layers and hydrodynamic in concentric walls, one ring is isothermal and the other wall being adiabatic. With the assumption that the inner ring rotates with a fixed angular velocity, also the outer ring is at rest. The finite difference technique is applied to find the velocity Profiles, variation of pressure in the radial coordinate direction and temperature changes in the same direction. Calculation results are obtained for different annular gap values, Casson number and Prandtl's number. The comparison of the results for different special cases was made and observed.
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