Numerical simulation for homogeneous–heterogeneous reactions in flow of Sisko fluid

  • Tasawar Hayat
  • Ikram Ullah
  • Ahmed Alsaedi
  • Bashir Ahmad
Technical Paper


Magnetohydrodynamic flow of Sisko liquid over a stretching surface is addressed. Stretching property of sheet is the main agent for fluid flow. Heat transfer is modelled by convective condition. Homogeneous–heterogeneous reactions are also attended. Ordinary differential systems are acquired by using proper transformations. The resulting non-linear system is solved via ND solve shooting technique. Graphs are interpreted to examine the behavior of sundry embedded parameters on temperature and concentration profiles. Also surface drag forces and heat transfer rate are inspected for the impact of numerous pertinent variables. It is revealed that increasing magnetic parameter diminishes the temperature profile. Further for higher values of homogeneous reaction parameter the surface concentration reduces. In addition the verification of present results is achieved by developing comparison with already existing work. The results are found in an excellent agreement.


Three-dimensional flow Homogeneous–heterogeneous reactions Sisko liquid MHD Convective conditions 


u, v, w

Velocity components

x, y, z

Space coordinates




Convective liquid temperature


Ambient fluid temperature


Uniform magnetic field strength

A1, A2

Chemical species


Diffusion species

c, d, a0

Positive dimensional constants

a1, b1

Concentration of chemical species

a, b, n (n > 0)

Material parameters


Thermal conductivity


Convective heat transfer


Transformed coordinate

Kc, Ks

Rate constant


Measure of strength of homogeneous reaction


Measure of strength of heterogeneous reaction


Dimensionless temperature


Magnetic parameter


Lewis number


Prandtl number


Material parameter of Sisko liquid


Schmidt number

Cfx, Cfy

Surface drag coefficients

Rea, Reb

Local Reynolds numbers


Local Nusselt numbers

Uw, Vw

Surface stretching velocities


Electrical conductivity


Kinematic viscosity


Specific heat at constant pressure


Ratio parameter




Dynamic viscosity


Diffusion coefficient ratio


Dimensionless concentration


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • Tasawar Hayat
    • 1
    • 2
  • Ikram Ullah
    • 1
  • Ahmed Alsaedi
    • 2
  • Bashir Ahmad
    • 2
  1. 1.Department of MathematicsQuaid-I-Azam University 45320IslamabadPakistan
  2. 2.NAAM Research Group, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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