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ANALYSIS OF MHD FLOW OF BLOOD IN STENOSED ARTERIES WITH RADIALLY VARIABLE VISCOSITY A...

Ponalagusamy R.

and 1 more

A modest effort is made to study the unsteady two-fluid flow of blood in an arterial stenosis under the application of a transverse uniform magnetic field by adopting Frobenius series method. Plasma fluid in the region of peripheral layer and blood in the central region are considered as a Newtonian fluid in character. The Frobenius method has been adopted to solve the governing equation for the central region and obtain the expression of the velocity profile in that region. It is seen that when the values of hematocrit (m h) and Hartmann number (M) are increasing, the decrease in forwarding flow velocity and the rise in reversal (backward) flow velocity are observed. The axial velocity is increased due to an increase in the thickness of plasma layer. It is evident that the analytical values of velocity obtained from the present study are compared with the corresponding numerical results obtained from work done by Ponalagusamy and Tamil Selvi (Meccanica, 48(2013), 2427-2438), and there is a good agreement between them.
Technical Note on Two-layered Model (Casson-Newtonian) for Blood Flow through an Arte...

Ponalagusamy R.

and 1 more

The purpose of this note is to analyze the work done by Haldar and Andersson [1]. Haldar and Andersson [1] have extended the work of Chaturani and Ponalagusamy [2] by taking into the account of axially variable plasma layer thickness. It is pertinent to pinpoint out here that in the case of two-layered model (Casson-Newtonian) for blood flow through a stenosed artery, the analytic expression for flow rate in the core (central) region is a function of axially variable plug core radius (p R) but it becomes dependent on the constant plug core radius (0 r) for the same flow in the artery with no stenosis (uniform artery). It is, in the present analysis, observed that the computation of the axially variable plasma layer thickness from the resultant equation is impossible as it depends on the two unknown parameters p R and 0 r. Hence, the method of computing the axially variable plasma layer thickness is invalid suggested by Haldar and Andersson [1]. Discussion and Conclusion Haldar and Andersson [1] have extended the work of Chaturani and Ponalagusamy [2] by taking into the account of axially variable plasma layer thickness. It is of importance to point out here that when we consider the flow of Casson's fluid (fluid having yield stress) through a
A Short Note on "Two-layered Model (Casson-Newtonian) for Blood Flow Through an Arter...

Ponalagusamy R.

and 1 more

The purpose of this note is to analyze the work done by Ponalagusamy and Tamilselvi [1]. Ponalagusamy and Tamilselvi [1] have obtained the analytic expression for an axially variable slip velocity at the wall by assuming the flow rate for the case of one-layered model with slip velocity is equal to that of two-layered model with zero slip velocity. This assumption may, in general, not be valid. Keeping this in view, the flow rate for the case of one-layered model with slip velocity is generally considered to be equal to the product of a constant(1 C) and the flow rate of two-layered model without slip velocity, where 0 < 1 C. Slip velocity at the wall has been computed for different values of 1 C for tube diameters 40 m  and 66.6 m . It is observed from the present investigation that a series of experiments on blood flow is to be performed to determine the proper values of 1 C under various values of flow parameters and radius of the arterial stenosis.
A STUDY ON ELECTRO-HYDRODYNAMIC FLOW OF TWO IMMISCIBLE FLUIDS IN A CIRCULAR TUBE

Ponalagusamy R.

and 2 more

A mathematical model has been developed for studying the flow of two immiscible fluids under the electrokinetic effects through a circular tube. The proposed model has been divided into two regions: The core region is non-Newtonian (Thixotropic) and the peripheral region is a Newtonian fluid. The non-linear nature of the modified Navier Stokes equation is governed under the electrokinetic effect and solved analytically by taking pressure gradient as constant. The numerical analysis on simultaneous effects of the power-law index, yield stress, structural parameter, consistency index and electro-osmotic on axial velocity and flow rate were discussed and the results were presented graphically. A comparison of axial velocity profiles for certain values of the parameters has been made to obtain the profiles for the power-law-Newtonian model and Newtonian-Newtonian fluid model.