Exact Solutions of Incompressible Couette Flow with Constant Temperature and Constant Heat Flux on Walls in the Presence of Radiation


Abstract: The present paper investigates a closed form solution for the transient free convection flow of a viscous fluid between 2 infinite vertical parallel plates in the presence of radiation. The flow is set up due to free convective currents occurring as a result of application of constant heat flux (CHF) at one wall and constant temperature on the other wall. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing partial differential equations have been solved exactly using the Laplace-transform technique. The numerical values obtained from analytical expressions of velocity, temperature, skin-friction, and Nusselt number have been presented graphically to study the behaviour of flow on momentum and thermal boundary layer.

Keywords: Transient, Natural convection, Channel flow, Heat flux, Exact solution, Radiation

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