Abstract
An analysis is made of compressible laminar boundary layer over an insulated or isothermal flat plate moving with an arbitrary time-variant velocity in a viscous fluid. Consideration is given to the small-time solution, which may be applied to the plate in the early stages of flow unsteadiness. Theoretical results are given for the velocity, temperature, skin friction, heat-transfer rate from the isothermal plate, and wall temperature of the insulated plate. Nomenclature A, a, an) B = const C = const defined by Eq. (5) Cf = skin friction Cp = specific heat at constant pressure F, Fij ... = functions related to temperature profile for an adiabatic plate; as defined by Eq. (5a) for U(t) = Atm and Beat', as defined by Eq. (14a) for an arbitrary U(t) = functions related to velocity profile; as defined by Eq. (4) for U(t) = Atm and Be*; as defined by Eq. (13) for an arbitrary U(t) = functions related to temperature profile for an isothermal plate; as defined by Eq. (5b) for U(t) = Atm and Beat', as defined by Eq. (14b) for an arbitrary U(t) H, H^ ... = functions related to temperature profile for an isothermal plate; as defined by Eq. (5b) for U(t) = AtQ and Be*; as defined by Eq. (14b) for an arbitrary U(t) k = thermal conductivity
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