International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 11, Pages 795-799

MHD flow of an elastico-viscous fluid under periodic body acceleration

E. F. El-Shehawey, Elsayed M. E. Elbarbary, N. A. S. Afifi, and Mostafa Elshahed

Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, Egypt

Received 19 February 1999

Copyright © 2000 E. F. El-Shehawey et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Magnetohydrodynamic (MHD) flow of blood has been studied under the influence of body acceleration. With the help of Laplace and finite Hankel transforms, an exact solution is obtained for the unsteady flow of blood as an electrical conducting, incompressible and elastico-viscous fluid in the presence of a magnetic field acting along the radius of the pipe. Analytical expressions for axial velocity, fluid acceleration and flow rate has been obtained.