Velocity Profiles of Unsteady Blood Flow through an Inclined Circular Tube with Magnetic Field

Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 24, Issue 6

Abstract

The present paper is devoted to study the flow of incompressible viscous, electrically conducting fluid (blood) in a rigid inclined circular tube with magnetic field. The blood is considered to be Newtonian fluid and the flow is caused by varying pressure gradient with time. The physics of the problem is described using the usual Magneto hydrodynamic (MHD) principles and equations along with appropriate boundary conditions. The governing equations of the motion in terms of cartesian co-ordinates are reduced to ordinary differential equations. Using dimensionless parameters, the Navier-stokes equation is solved numerically using finite difference method of approximation and the expressions for velocity profile is obtained. The velocity profiles for various values of Hartmann number as well as varying the angle of inclination of the tube have been presented graphically and discussed in depth. The obtained results show that on increasing the inclination angle of the tube and Hartmann number leads to increase and decrease of the axial velocity of the blood respectively.

Authors and Affiliations

Vincent Mwanthi, Eustance Mwenda, Kennedy K. Gachoka

Keywords

Related Articles

DRBEM Sensitivity Analysis and Shape Optimization of Rotating Magneto-Thermo-Viscoelastic FGA Structures Using Golden-Section Search Algorithm Based on Uniform Bicubic B-Splines

Aims: A practicalshape optimization technique is developed, using thedual reciprocity boundary element method (DRBEM) with the golden-section search algorithm based on uniform bicubic B-splines, for rotating magneto-ther...

Mixed Convection and Radiative Heat Transfer of MHD Casson Fluid Flow by a Permeable Stretching Sheet with Variable Thermal Conductivity and Lying in Porous Medium

This work investigates the mixed convection radiative heat transfer of electrically conducting Casson fluids. The fluid flows past a permeable stretching sheet lying in the porous medium. The heat transfer involves varia...

Text Summarization versus CHI for Feature Selection

Text Classification is an important technique for handling the huge and increasing amount of text documents on the web. An important problem of text classification is features selection. Many feature selection techniques...

Fuzzy Tangle Graph

We will study anew graph, this graph called fuzzy tangle graph, we will study the matrices which represent this graph, and we will discuss the relation between fuzzy tangle graph and dual fuzzy tangle graph. In fuzzy tan...

The Riemann Zeta Function and Its Analytic Continuation

The objective of this dissertation is to study the Riemann zeta function in particular it will examine its analytic continuation, functional equation and applications. We will begin with some historical background, then...

Download PDF file
  • EP ID EP322587
  • DOI 10.9734/JAMCS/2017/36620
  • Views 65
  • Downloads 0

How To Cite

Vincent Mwanthi, Eustance Mwenda, Kennedy K. Gachoka (2017). Velocity Profiles of Unsteady Blood Flow through an Inclined Circular Tube with Magnetic Field. Journal of Advances in Mathematics and Computer Science, 24(6), 1-10. https://europub.co.uk/articles/-A-322587