On an Integral Equation Method for a Linearized Version of the Navier-Stokes Equation.

Document Type : Research Studies

Author

Assistant Professor., Mechanical Power engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Abstract

  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. 

 
 
 
 
 

Main Subjects