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.
Sabry, M. N. (2021). On an Integral Equation Method for a Linearized Version of the Navier-Stokes Equation.. MEJ- Mansoura Engineering Journal, 13(2), 88-97. doi: 10.21608/bfemu.2021.173237
MLA
Mohamed Nabil Saad El-Din Sabry. "On an Integral Equation Method for a Linearized Version of the Navier-Stokes Equation.". MEJ- Mansoura Engineering Journal, 13, 2, 2021, 88-97. doi: 10.21608/bfemu.2021.173237
HARVARD
Sabry, M. N. (2021). 'On an Integral Equation Method for a Linearized Version of the Navier-Stokes Equation.', MEJ- Mansoura Engineering Journal, 13(2), pp. 88-97. doi: 10.21608/bfemu.2021.173237
VANCOUVER
Sabry, M. N. On an Integral Equation Method for a Linearized Version of the Navier-Stokes Equation.. MEJ- Mansoura Engineering Journal, 2021; 13(2): 88-97. doi: 10.21608/bfemu.2021.173237