Abstract
We discuss an approximate analytical method of calculating the parameters of the motion of a gas in a long cavity induced by the presence of a heated vertical wall. Assuming the flow is plane-parallel and the longitudinal temperature gradient in the central region of the flow is constant, we obtain analytical expressions for the velocity and temperature profiles. We use the law of conservation of energy in integral form to match the solution in the central region with the end regions near the walls, and thereby obtain the flow parameters without considering the structure of the flow in the end regions.
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