In this manuscript, we have investigated the peristaltic transport of Oldroyd-B fluid in an inclined channel. The channels are taken asymmetric into account and subjected to rotation presence a magnetic field gravity field. governing equations derived constitute nonlinear reduced under consideration large wave length small Reynolds number approximation. exact solution is derived. consequences p...

The present work is dedicated to the global solutions incompressible Oldroyd-B model without damping on stress tensor in Rn(n=2,3). This result allows us construct for a class of highly oscillating initial velocities. proof uses special structure system. Moreover, our theorem extends previous Zhu [J. Funct. Anal. 274, 2039–2060 (2018)] and covers recent Chen Hao Math. Fluid Mech. 21, 42 (2019)].

In this work, we consider the Cauchy problem for a diffusive Oldroyd-B model in three dimensions. Some optimal time-decay rates of solutions are derived via analysis upper and lower estimates provided that initial data small absolute value Fourier transform velocity is bounded below away from zero low-frequency region. It worth noticing independent fluid viscosity or coefficient, which differen...

1 SUMMARY This paper is concerned with the application of radial basis function networks (RBFNs) for solving non-Newtonian fluid flow problems. Indirect RBFNs, which are based on an integration process, are employed to represent the solution variables; the governing differential equations are discretized by means of point collocation. To enhance numerical stability, stress-splitting techniques ...