In this paper, flow and heat transfer of nanofluid through a converging or diverging channel with porous medium is investigated. The fluid constantly flows under the effect of magnetic field through the channel. The diverging/converging fluid motion is modeled using the momentum and energy equations. The influence of some parameters such as opening channel angle, Reynolds number and Darcy’s num...

In this paper, the MHD Jeffery Hamel problem with nanoparticles for various values of Hartmann number has been investigated. The present study discusses about the velocity profile in the steady 2-dimensional flow of a MHD fluid with nanoparticles between two nonparallel walls. At first a similarity transformation is used to reduce the partial differential equations modeling the flow, to a singl...

In ZF, the existence of a Hamel basis does not yield a well–ordering of R. Throughout this paper, by a Hamel basis we always mean a basis for R, construed as a vector space over Q. We denote by E the Vitali equivalence relation, xEy iff x− y ∈ Q for x, y ∈ R. We also write [x]E = {y : yEx} for the E–equivalence class of x. A transversal for the set of all E–equivalence classes picks exactly one...

Elliptic functions and integrals are not as widely known in the scientific populace as they have been in the past, even though they can still be used to solve an impressive array of applied problems. Computer Algebra Systems (CAS) have stepped into this knowledge gap and claim to provide access to many of the formulae that have proven so useful. This paper takes a classical problem in two-dimen...

In this paper, Homotopy perturbation method (HPM) has been applied to investigate the effect of magnetic field on Cu-water nanofluid flow in non-parallel walls. The validity of HPM solutions were verified by comparing with numerical results obtained using a fourth order Runge–Kutta method. Effects of active parameters on flow have been presented graphically. The results show that velocity i...