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

Authors

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

Corresponding Author

Sabry, Mohamed Nabil

Subject Area

Mechanical Power Engineering

Article Type

Original Study

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.

Recommended Citation

Sabry, Mohamed Nabil (2021) "On an Integral Equation Method for a Linearized Version of the Navier-Stokes Equation.," Mansoura Engineering Journal: Vol. 13 : Iss. 2 , Article 15.
Available at: https://doi.org/10.21608/bfemu.2021.173237