Series solution of magneto-hydrodynamic boundary layer flow over bi-directional exponentially stretching surfaces

Technical Paper


This study investigated theoretically the problem of three-dimensional, magnetohydrodynamic, boundary layer flow of a Jeffrey fluid with heat transfer in the presence of thermal radiation over an exponentially stretching surface. Highly nonlinear coupled partial differential equations are obtained using boundary layer approach. These equations are reduced to a set of ordinary differential equations using appropriate similarity transformations. The solution of the problem is found with the help of homotopy analysis method along with optimal homotopy analysis method to find optimal/best value for the convergence control parameter appearing in a series solution. The solution behaviors, for different emerging parameters, of velocity profiles (along \(x\) and \(y\) direction) as well as temperature profile are investigated and the effect of these parameters are explained through graphs. Moreover, for the present study, effective Prandtl number is used in the description of temperature profile. The skin friction coefficients along \(x\)-axis and \(y\)-axis are also discussed through graphs. The tabulated values of dimensionless heat transfer coefficient, Nusselt number, is presented.


Jeffrey fluid model Three dimensional flow Heat transfer Thermal radiation MHD Similarity solution 


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2015

Authors and Affiliations

  • Sajjad ur-Rehman
    • 1
  • Sohail Nadeem
    • 2
  • Changhoon Lee
    • 1
    • 3
  1. 1.Department of Computational Science and EngineeringYonsei UniversitySeoulKorea
  2. 2.Department of MathematicsQuaid-I-Azam UniversityIslamabadPakistan
  3. 3.Department of Mechanical EngineeringYonsei UniversitySeoulKorea

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