Journal of Prime Research in Mathematics

# Heat and mass transfer in mhd maxwell fluid over an infinite vertical plate

Nazish Iftikhar
Department of Sciences & Humanities, National University of Computer & Emerging Sciences, Lahore Campus, Pakistan.
S. M. Husnine
Department of Sciences & Humanities, National University of Computer & Emerging Sciences, Lahore Campus, Pakistan.
M. B. Riaz
Department of Mathematics, University of Management and Technology Lahore, Pakistan.
Institute for Groundwater Studies (IGS), University of the Free State, South Africa.

$$^{1}$$Corresponding Author: nazish.iftikhar289@gmail.com

### Abstract

The main focus of this article is to investigate the exact solution for MHD flow of Maxwell fluid over an infinite vertical plate with ramped temperature and constant concentration. Plate is moving along a straight line with arbitrary velocity which depends on time. Laplace transform and convolution theorem are used to acquire solutions for temperature, concentration and velocity. Moreover, results already present in literature are acquired as limiting case from these general results.

#### Keywords:

Maxwell fluid, Laplace transform, Magnetic effect, Concentration, Ramped temperature, Free convection.