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

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

Abstract

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.

Keywords

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

Abbreviation

u, v, w

Velocity components

x, y, z

Space coordinates

T

Temperature

Tf

Convective liquid temperature

T

Ambient fluid temperature

B0

Uniform magnetic field strength

A1, A2

Chemical species

DA, DB

Diffusion species

c, d, a0

Positive dimensional constants

a1, b1

Concentration of chemical species

a, b, n (n > 0)

Material parameters

k

Thermal conductivity

hf

Convective heat transfer

ξ

Transformed coordinate

Kc, Ks

Rate constant

K1

Measure of strength of homogeneous reaction

K2

Measure of strength of heterogeneous reaction

θ

Dimensionless temperature

M

Magnetic parameter

Le

Lewis number

Pr

Prandtl number

β

Material parameter of Sisko liquid

sc

Schmidt number

Cfx, Cfy

Surface drag coefficients

Rea, Reb

Local Reynolds numbers

Nux

Local Nusselt numbers

Uw, Vw

Surface stretching velocities

σ

Electrical conductivity

v

Kinematic viscosity

cp

Specific heat at constant pressure

α

Ratio parameter

ρ

Density

μ

Dynamic viscosity

δ1

Diffusion coefficient ratio

Ø

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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