Nagaraj Nagesh Katagi

Manipal Academy of Higher Education | MAHE · Department of Mathematics

In this study, we looked at a two-dimensional constant, laminar, and incompressible viscous flow between two porous discs in the presence of an external magnetic field. The proper similarity transformations simplify the complicated governing problem to nonlinear differential equations with suitable velocity slip and other boundary conditions. The K...

In this paper, a two-dimensional steady flow of a viscous fluid due to a stretching sheet in the presence of a magnetic field is considered. We proposed two new numerical schemes based on the Haar wavelet coupled with a collocation approach and quasi-linearization process for solving the Falkner-Skan equation representing the governing problem. The...

The present study deals with the steady axisymmetric flow of micropolar fluid between two parallel porous plates when the fluid is injected through both walls at the same rate. The influence of velocity slip at the porous surface is analyzed. A detailed finite-difference solution is developed for the resulting non-linear coupled differential equati...

The problem of Hydromagnetic steady laminar flow of an electrically conducting viscous incompressible fluid between parallel pates has been studied. The nonzero tangential slip velocity at the permeable boundary is considered. A numerical solution is derived for the governing nonlinear boundary value problem using a novel Keller box scheme. The eff...

In the present analysis, a steady, laminar, incompressible and two-dimensional micropolar fluid flow between a porous disk and a nonporous disk is considered. Similarity transformations are suitably applied to reduce the complex governing equations into a set of nonlinear boundary value problems with velocity slip conditions. An efficient finite di...

The common boundary-layer equations are derived in which the boundary-layer forms either due to the flow of a viscous fluid over a moving wedge or due to the stretching of the surface with a non-uniform velocity using the concept of the velocity ratio (free stream velocity to the stretching surface velocity). The extreme values of the velocity rati...

The present study investigates the effects of slip velocity on the stagnation point of an incompressible viscous fluid between porous plates. The appropriate slip boundary conditions have been introduced in place of no-slip condition. The governing equations of motion is solved by Homotopy analysis and Computer extended series method. Padé approxim...

In this manuscript, we present the semi-numerical solution for laminar flow in a porous pipe with velocity slip. The flow is analyzed by employing Computer extended series method(CES) and Homotopy analysis method(HAM). The primary objective is to study the influence of non-zero tangential slip velocity on the velocity field and shear stress. The co...

The axially symmetric laminar incompressible viscous fluid flow due to uniform blowing through two parallel porous plates is investigated. The governing Navier-Stokes equations are transformed into a nonlinear ordinary differential equation by using similarity transformation. We developed a new elegant approximate scheme based on Haar wavelets coup...

The present paper analyses the problem of laminar flow in a porous channel with velocity slip using novel Computer Extended Series (CES) and Homotopy Analysis Method (HAM). The semi-numerical scheme described here offer some advantages over solution obtained by using traditional methods such as regular perturbation, shooting method etc. These techn...

The flow of viscous incompressible fluid through a tube is considered. The similarity transformation is used to reduce the governing equations into nonlinear ordinary differential equation. The solution procedure includes application of long series analysis with polynomial coefficients. The series representing physical parameters ( ) reveal qualita...

We study the stability of an interface between two fluids of different densities flowing parallel to each other in the presence of a transverse magnetic field. A simple theory based on fully developed flow approximations is used to derive the dispersion relation for the growth rate of KHI. We replace the effect of boundary layer with Beavers and Jo...

Computer extended series solution is used to analyse the problem of laminar flow in a channel with one porous bounding wall. The objective is to study the effect of non-zero tangential slip velocity on the velocity field, pressure gradient and mass transfer. The problem is also studied using power series method in conjunction with an unconstrained...

We reinvestigate the flow of an incompressible viscous fluid between two rectangular and circular plates. The problem admits similarity solutions, thus reducing unsteady Navier-Stokes equations to nonlinear ordinary differential equation of order four with a small parameter. The proposed new semi-analytic semi-numerical scheme is convenient in obta...