MATHEMATICAL ANALYSIS OF UNSTEADY MHD BLOOD FLOW THROUGH PARALLEL PLATE CHANNEL WITH HEAT SOURCE

M.V. Surseh; P. Sekar

doi:10.29121/ijetmr.v5.i1.2018.47

Authors

Mr.M.V. Surseh Research Scholar-Mathematics, SPIHER, Avadi, Chennai – 600 054, India
Dr.P.Sekar Dean, Faculty of Science and Humanities, SRM University, Ramapuram, Chennai, India

DOI:

https://doi.org/10.29121/ijetmr.v5.i1.2018.47

Keywords:

Blood Flow, Parallel Plate Channel, Boundary Layer, Heat Source, Magnetic Field

Abstract

A mathematical model of flimsy blood move through parallel plate channel under the action of a connected steady transverse attractive field is proposed. The model is subjected to warm source. Expository articulations are gotten by picking the hub speed; temperature dispersion and the typical speed of the blood rely upon y and t just to change over the arrangement of fractional differential conditions into an arrangement of normal differential conditions under the conditions characterized in our model. The model has been breaking down to discover the impacts of different parameters, for example, Hart-mann number, warm source parameter and Prandtl number on the hub speed, temperature circulation, and the ordinary speed. The numerical arrangements of pivotal speed, temperature conveyances, and typical speed are demonstrated graphically for better comprehension of the issue. Subsequently, the present numerical model gives a straightforward type of pivotal speed, temperature circulation and typical speed of the bloodstream so it will help not just individuals working in the field of Physiological liquid elements yet in addition to the restorative professionals.

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References

M. Jain, G. C. Sharma and A. Singh, “Mathematical Ana-lysis of MHD Flow of Blood in Very Narrow Capillar-ies,” International Journal of Engineering Transactions B: Applications, Vol. 22, No. 3, 2009, pp. 307-315.

V. P. Rathod and S. Tanveer, “Pulsatile Flow of Couple Stress Fluid through a Porous Medium with Periodic Body Acceleration and Magnetic Field,” Bulletin of the Malaysian Mathematical Sciences Society, Vol. 32, No. 2, 2009, pp. 245-259.

J. Singh and R. Rathee, “Analytical Solution of Two- Dimensional Model of Blood Flow with Variable Viscos-ity through an Indented Artery Due to LDL Effect in the Presence of Magnetic Field,” International Journal of Physical Sciences, Vol. 5, No. 12, 2010, pp. 1857-1868.

C. S. Dulal and B. Ananda, “Pulsatile Motion of Blood through an Axi-Symmetric Artery in Presence of Mag-netic Field,” Journal of Science and Technology of Assam University, Vol. 5, No. 2, 2010, pp. 12-20.

M. Zamir and M. R. Roach, “Blood Flow Downstream of a Two-Dimensional Bifurcation,” Journal of Theoretical Biology, Vol. 42, No. 1, 1973, pp. 33-42. doi:10.1016/0022- 5193(73)90146-X

S. D. Adhikary and J. C. Misra, “Unsteady Two-Dimen-sional Hydromagnetic Flow and Heat Transfer of a Fluid,” International Journal of Applied Mathematics and Me-chanics, Vol. 7, No. 4, 2011, pp. 1-20.

J. J. W. Lagendijk, “The Influence of Blood Flow in Large Vessels on the Temperature Distribution in Hyperther-mia,” Physics in Medicine and Biology, Vol. 27, No. 1, 1982, p. 17. doi:10.1088/0031-9155/27/1/002. DOI: https://doi.org/10.1088/0031-9155/27/1/002

C. Y. Wang, “Heat Transfer to Blood Flow in a Small Tube,” Journal of Biomechanical Engineering, Vol. 130, No. 2, 2008, p. 024501. doi:10.1115/1.2898722 DOI: https://doi.org/10.1115/1.2898722

J. Singh and R. Rathee, “Analytical Solution of Two- Dimensional Model of Blood Flow with Variable Viscos-ity through an Indented Artery Due to LDL Effect in the Presence of Magnetic Field,” International Journal of Physical Sciences, Vol. 5, No. 12, 2010, pp. 1857-1868.

O. Prakash, S. P. Singh, D. Kumar and Y. K. Dwivedi, “A Study of Effects of Heat Source on MHD Blood Flow through Bifurcated Arteries,” AIP Advances, Vol. 1, No. 4, 2011, pp. 1-7. doi:10.1063/1.3658616. DOI: https://doi.org/10.1063/1.3658616

N. Verma and R. S. Parihar, “Effects of Magneto-Hydro-dynamic and Hematocrit on Blood Flow in an Artery with Multiple Mild Stenosis,” International Journal of Applied Mathematics and Computer Science, Vol. 1, No. 1, 2009, pp. 30-46.

D. C. Sanyal, K. Das and S. Debnath, “Effect of Magnetic Field on Pulsatile Blood Flow through an Inclined Circu-lar Tube with Periodic Body Acceleration,” Journal of Physical Science, Vol. 11, 2007, pp. 43-56.

E. E. Tzirtzilakis, “A Mathematical Model for Blood Flow in Magnetic Field,” Physics of Fluids, Vol. 17, No. 7, 2005, p. 077103. doi:10.1063/1.1978807 DOI: https://doi.org/10.1063/1.1978807

G. Ramamurthy and B. Shanker, “Magnetohydrodynamic Effects on Blood Flow through Porous Channel,” Medi-cal and Biological Engineering and Computing, Vol. 32, No. 6, 1994, pp. 655- 659. doi:10.1007/BF02524242 DOI: https://doi.org/10.1007/BF02524242

K. Das and G. C. Saha, “Arterial MHD Pulsatile Flow of Blood under Periodic Body Acceleration,” Bulletin of So-ciety of Mathematicians Banja Luka, Vol. 16, 2009, pp. 21-42.