ABSTRACT An analysis is made for the transient response behaviour of the both, outer and inner, thermal boundary layers of an impulsively started fluid sphere at constant velocity with internal circulation in another viscous fluid of large extent under the condition of large Reynolds and Peclet numbers. The disturbance is initiated by a step change in temperature of either the continuous or disperse region fluids. An approximate solution of the governing energy equation is found by using the solutions of the viscous flow fields. Comparing to the inviscid approximation, the viscosity gives logically some modifications of the thermal boundary layers.
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