Int. J. Biomedical Engineering and Technology, Vol. 4, No. 2, 2010 101 Copyright © 2010 Inderscience Enterprises Ltd. Finite difference technique for reliable MHD steady flow through channels permeable boundaries Anil Kumar Department of Applied Mathematics, Dronacharya College of Engineering, Greater Noida, UP, India E-mail: dranilkumar06@yahoo.co.in R.K. Saket* Department of Electrical Engineering, Institute of Technology, Banaras Hindu University, Varanasi, UP, India E-mail: rksaket.eee@itbhu.ac.in E-mail: saketrk@yahoo.com *Corresponding author C.L. Varshney and Sajjan Lal Maurya Department of Mathematics, S.V. College, Aligarh, UP, India E-mail: drclvarshney05@indiatimes.com E-mail: sajjanlalmaurya@gmail.com Abstract: This paper describes the combined wall slip and reliable MHD steady flow of the conducting viscous incompressible fluid through channels permeable boundaries. The governing equations have been solved by Finite Difference Technique. The analytical results and conclusions have been presented and discussed through various graphs. Results presented in this paper revealed that the fluid velocity can be replaced by a magnetic field and the wall slip. Appropriate result shows that the wall skin friction increases with suction and decreases with injection. Keywords: magneto-hydrodynamics; permeable walls; finite difference technique; channel flow; viscous fluid. Reference to this paper should be made as follows: Kumar, A., Saket, R.K., Varshney, C.L. and Maurya, S.L. (2010) ‘Finite difference technique for reliable MHD steady flow through channels permeable boundaries’, Int. J. Biomedical Engineering and Technology, Vol. 4, No. 2, pp.101–110. Biographical notes: Anil Kumar obtained his MSc, MPhil and PhD in Applied Mathematics from Dr. Bhim Rao Ambedkar University, Agra, Uttar Pradesh, India, in 1996, 1999 and 2002, respectively. At present, he is working as an Assistant Professor in the Department of Applied Mathematics at Dronacharya College of Engineering, Greater Noida, Gautam Buddha Nagar (UP), India. He has more than 10 years of teaching and research experience. He has published more than 40 scientific research papers in the prestigious