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The steady fully developed laminar flow and heat transfer of an electrically conducting viscous fluid between two parallel plates heated with a constant heat flux is investigated analytically in the presence of a transverse magnetic field. The momentum and energy equations are solved under the first order boundary conditions of slip velocity and temperature jump. The effects of the Knudsen number, Brinkman number and Hartmann number on the velocity and temperature distribution and heat transfer characteristics are discussed.

Initiai development of the laminar boundary-layer flow over an impulsively started translating and spinning isothermal body of revolution in the case of mixed convection is investigated. Velocity components and temperature are expanded in series in powers of time. Leading and first order functions are obtained analytically and second order functions are determined numerically. The general results are applied to a sphere to investigate the effects of density variations on velocity field and on the onset of separation. The buoyancy force is more effective for small rotational speeds and facilitates the onset of separation for opposing flow and retards it for aiding flow.

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