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008			181107b xxu||||| |||| 00| 0 eng d
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040			_cKE-MeUCS _dKE-MeUCS
050			_aTS260.M8 2018
100			_aMwanthi, Vicent Kyunguti
245			_aUnsteady blood flow through an inclined circular tube with magnetic field/ _cVincent Kyunguti Mwanthi
260			_aMeru: _bVincent Kyunguti Mwanthi', _c2018.
300			_axii, 81p:.
500			_aA thesis submitted in partial fulfillment for the degree of Masters of Science in Applied Mathematics in the Meru University of Science and Technology
520			_aIn this research, unsteady blood flow through an inclined circular tube with magnetic field has been investigated.The tube is rigid, circular, inclined at a given angle and the fixed magnetic field is also inclined to the main flow. Blood is considered to be Newtonian, incompressible, viscous and electrically conducting fluid. The flow of blood in the tube is caused by varying pressure gradient with time. The study provides one of the most appealing applications of Magneto hydrodynamic (MHD) principles to blood flow. The study is aimed at determining the velocity profiles, flow rates and the effect of varying the inclination angle of the tube and increasing or decreasing the Hartmann number on flow variables.The governing equation which comprises equation of continuity and momentum defines the one-dimension blood flow problem. Using Cartesian co-ordinates, the continuity and momentum equations are non-dimensionalised in order to attain flow parameters such as Froude number, Hartman number and Reynolds number. The equations governing the flow are non-linear and finite difference method of approximation referred as Crank-Nicolson is used to determine the solution of equations numerically. A computer program is then used to generate results which are presented in form of graphs and tables. The results show that increase in the inclination angle of the tube and Hartmann number leads to increase and decrease of the axial velocity and flow rate of blood flow respectively. These results obtained can be used in the field of medicine where tubes and magnetic field are of great use.
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