Numerical study of streamwise and cross flow in the presence of heat and mass transfer

  • Rizwan-ul-Haq
  • Feroz Ahmed Soomro
  • Z. H. Khan
  • Qasem M. Al-Mdallal
Regular Article

DOI: 10.1140/epjp/i2017-11473-1

Cite this article as:
Rizwan-ul-Haq, Soomro, F.A., Khan, Z.H. et al. Eur. Phys. J. Plus (2017) 132: 214. doi:10.1140/epjp/i2017-11473-1


The present model is devoted to investigate the streamwise and cross flow of a viscous fluid over a heated moving surface. Viscous dissipation effects are also considered with heat and mass transfer effects and these effects with cross flow have not been explored yet in the literature. Governing boundary layer equations consist in the form of nonlinear partial differential equations (PDEs). Compatible transformations are applied to change such equations into ordinary differential equations which are further solved using the Runge-Kutta technique and shooting method. Linear stability analysis is also performed over the obtained solutions to validate the results and to determine the smallest eigenvalues. Three different kinds of fluids namely: acetone, water and ethaline glycol are investigated to analyse the heat transfer rate. The problem contains important physical parameters namely: Prandtl number, Eckert numbers and Lewis number. The obtained solutions are discussed in detail against each physical parameter using graphs and tables.

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Electrical EngineeringBahria UniversityIslamabadPakistan
  2. 2.Department of MathematicsNanjing UniversityNanjingChina
  3. 3.Department of MathematicalUniversity of Malakand, Dir (Lower)Khyber PakhtunkhwaPakistan
  4. 4.Department of Mathematical SciencesUAE UniversityAl AinUnited Arab Emirates

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