This article deals with three-dimensional non-Newtonian Jeffrey fluid in rotating frame the presence of magnetic field. The flow is studied application Hall current, where assumed steady states. upper plate considered fixed, and lower kept stretched. fundamental equations are transformed into a set ordinary differential (ODEs). A homotopy technique practiced for solution. variation skin frictio...

We explain how the Meissel-Lehmer-Lagarias-Miller-Odlyzko method for computing π(x) can be used for computing efficiently π(x, k, l), the number of primes congruent to l modulo k up to x. As an application, we computed the number of prime numbers of the form 4n ± 1 less than x for several values of x up to 1020 and found a new region where π(x, 4, 3) is less than π(x, 4, 1) near x = 1018.

in Shock Waves by means of a Spectral-Lagrangian Boltzmann Solver Alessandro Munafò∗, Jeffrey R. Haack, Irene M. Gamba∗∗ and Thierry E. Magin∗ ∗Aeronautics/Aerospace department, von Karman Institute for Fluid Dynamics, Chaussée de Waterloo 72, 1640 Rhode-Saint-Genèse, Belgium Department of Mathematics, The University of Texas at Austin, 201 E. 24th Street, Austin, TX 78712, USA ∗∗Department of ...

The unsteady electroosmotic flow (EOF) for one kind of linear viscoelastic fluid, which is Jeffrey type investigated under the common impact vertical magnetic field, external electric and pressure at high Zeta potential in a circular microchannel. numerical solutions velocity distributions are obtained by solving nonlinear Poisson-Boltzmann equation, constitutive equation Cauchy momentum applyi...