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On an Integral Equation Method for a Linearized Version of The Navier-Stokes Equation.(Dept.M)

MEJ. Mansoura Engineering Journal, Vol: 13, Issue: 2, Page: 88-97
2021
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The regular reductive integral equations method, developed earlier to solve creeping flow problems, is considered. This method required merely the solution of a scalar integral equation on the boundary of the domain. Through a judicious linearization and transformation of variables, this method is extended to include cases with non-negligible convective term. This new technique is applied to the hydrodynamic entrance zone in a rectangular duct of infinite length.

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