PERMANENT SOLUTIONS FOR MHD MODIFIED STOKES PROBLEMS OF SOME MAXWELL FLUIDS WITH POWER-LAW DEPENDENCE OF VISCOSITY ON PRESSURE

Dedicated to the memory of Professor Mihail Megan

 

Constantin Fetecau†

Abstract: Modified Stokes problems for a class of electrically conducting upper- convected incompressible Maxwell fluids with pressure-dependent viscosity are analytically investigated when the influence of magnetic field and gravitational acceleration is taken in consideration. Simple analytic expressions are provided for the dimensionless permanent velocity and shear stress fields. They satisfy the governing equations and boundary conditions and reduce to known results from the existing literature in limiting cases. The influence of physical parameters on the fluid behavior is graphically underlined and discussed. Fluids with pressure-dependent viscosity flow faster than ordinary fluids and their velocity declines in the presence of magnetic field. Permanent shear stress for the modified first problem of Stokes is constant on whole flow domain although the corresponding velocity is function of spatial variable.

Keywords: MHD modified Stokes problems, Maxwell fluids, pressure-dependent viscosity.

MSC: 76A05.

DOI  10.56082/annalsarscimath.2026.3.15

Read full articlePERMANENT SOLUTIONS FOR MHD MODIFIED STOKES PROBLEMS OF SOME MAXWELL FLUIDS WITH POWER-LAW DEPENDENCE OF VISCOSITY ON PRESSURE                                                                     Download articlePERMANENT SOLUTIONS FOR MHD MODIFIED STOKES PROBLEMS OF SOME MAXWELL FLUIDS WITH POWER-LAW DEPENDENCE OF VISCOSITY ON PRESSURE

*Accepted for publication on January 17, 2026
†c_fetecau@yahoo.com, Academy of Romanian Scientists, 3 Ilfov, Bucharest 050044, Romania

PUBLISHED in

Annals Academy of Romanian Scientists Series on Mathematics and Its Application,

Volume 18 no 3, 2026

ISSN ONLINE 2066 – 6594
ISSN PRINT 2066 – 5997