Steady Oscillatory Flow in a Bifurcating Green Plant
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 2, Issue 4
Abstract
Steady oscillatory flow in a bifurcating green plant is investigated. The channel is assumed axisymmetrical and porous; the fluid is Newtonian, incompressible, electrically conducting and chemically reactive but of the order one homogeneous type. The models are developed using the Boussinesq’s approximations. The nonlinear and coupled equations governing the flow are non-dimensionalized and solved analytically using the similarity transformation and perturbation series solutions. Expressions for the concentration, temperature and velocity are obtained and presented in tabular form. The results show that the increase in the chemical reaction rate, Hartmann number (for 0.1≤M2≤1.0), Heat generation parameter, Grashof number (for 0.1≤Gr≤1.0), Peclet number and Reynolds number increase the concentration and velocity, and specifically, the increase in the bifurcation angle decreases the concentration but increases the velocity. Furthermore, it is seen that for Hartmann number M2≥5.0 the velocity drops. This model has relevance to agriculture. In fact, the increase in the flow variables enhances the growth and yield of plant (crops).
Authors and Affiliations
W. I. A. Okuyade, T. M. Abbey
Keywords
Related Articles
- EP ID EP338340
- DOI 10.9734/ARJOM/2017/31306
- Views 153
- Downloads 0
Epidemic Model Formulation, Analysis and Simulation of Rotavirus Diarrhea for Prevention
Aims: Practical employment of epidemic models for rotavirus diarrhea is the aim of the study so that prevention is attained more swiftly thus reducing global disease burdens, mortality rates and financial burdens due to...
On the Regularization-Homotopy Analysis Method for Linear and Nonlinear Fredholm Integral Equations of the First Kind
Fredholm integral equations of the first kind are considered by applying regularization method and the homotopy analysis method. This kind of integral equations are considered as an ill-posed problem and for this reason...
Compactly Supported B-spline Wavelets with Orthonormal Scaling Functions
Polynomial spline wavelets have played a momentous role in the enlargement of wavelet theory. Due to their attractive properties like compact support, good smoothness property, interpolation property, they are now provid...
The Method of Multiple Time Scales and Finite Differences Method for the van der Pol Oscillator with Small Fractional Damping
In this paper, we consider the van der Pol oscillator with small fractional damping. To construct the approximate and numerical solutions of the equation, the method of multiple time scales and finite differences method...
Multi-level Multi-objective Quadratic Fractional Programming Problem with Fuzzy Parameters: A FGP Approach
The motivation behind this paper is to present multi-level multi-objective quadratic fractional programming (ML-MOQFP) problem with fuzzy parameters in the constraints. ML-MOQFP problem is an important class of non-linea...