The present study investigates the fluid flow and heat transfer characteristics occurring during the melting process due to a stretching / shrinking surface in micropolar fluid. A uniform magnetic field is applied normally to the surface. The governing equations representing fluid flow were transformed into nonlinear ordinary differential equations using similarity transformation. The equations...

An analysis has been carried out to study the magnetohydrodynamic boundary layer flow and heat transfer characteristics of a dusty fluid over a flat stretching sheet in the presence of viscous dissipation. The basic equations governing the flow and heat transfer are in the form of partial differential equations, the same have been reduced to a set of non-linear ordinary differential equations b...

The inherent irreversibility in a variable viscosity hydromagnetic generalized Couette flow with suction/injection at the walls has been investigated theoretically. Using a fourth-order Runge-Kutta-Fehlberg integration scheme together with shooting technique, the model equations for momentum and energy balance are tackled numerically. The velocity and the temperature profiles are obtained and a...

Lagrangian systems with ideal nonholonomic constraints can be expressed as implicit index 2 differential-algebraic equations (DAEs) and can be derived from the Lagrange-d’Alembert principle. We define a new nonholonomically constrained discrete Lagrange-d’Alembert principle based on a discrete Lagrange-d’Alembert principle for forced Lagrangian systems. Nonholonomic constraints are considered a...

ess as: N a Eng. J and hosti 013.10.0 Abstract In this article, we studied MHD peristaltic flow of a Carreau nanofluid in an asymmetric channel. The flow development is carried out in a wave frame of reference moving with velocity of the wave c1. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using simila...

This study investigates the influence of viscous dissipation on aligned Magnetohydrodynamic (MHD) flow Jeffry fluid containing Carbon Nanoparticles (CNTs) over an exponential stretching sheet with boundary condition Newtonian Heating (NH). The model proposed by Tiwari and Das is adopted. numerical computation using Runge-Kutta Fehlberg (RKF45) method used to generate results. solutions several ...

In this article, a new Runge-Kutta-Nyström method is derived. The new RKN method has zero phase-lag, zero amplification error and zero first derivative of phase-lag. This method is basically based on the sixth algebraic order Runge-Kutta-Nyström method, which has proposed by Dormand, El-Mikkawy and Prince. Numerical illustrations show that the new proposed method is much efficient as compared w...