Applied Mathematics and Scientific Computing pp 275-285 | Cite as

# Numerical Solution of Steady Powell-Eyring Fluid over a Stretching Cylinder with Binary Chemical Reaction and Arrhenius Activation Energy

## Abstract

The present work addresses the two-dimensional boundary layer flow of a Powell-Eyring fluid over a stretching cylinder with binary chemical reaction and Arrhenius Activation energy. Also, considered Cattaneo-Christov heat flux model in the place of conventional Fourier’s law of heat conduction. Suitable transforms lead to strongly nonlinear differential equations, which are solved through R-K method along with shooting scheme. The effects of various parameters are shown graphically on velocity, temperature and concentration fields. The numerical values for skin friction(\( \sqrt {{{{\mathop{\rm Re}\nolimits} }_x}} X{C_f}/2\ \)), local Nusselt(*Nu*_{x}Re_{x}^{-1/2} *X*^{-1}) and Sherwood numbers(*sh*_{x}Re_{x}^{-1/2} *X*^{-1} are reported. A relative revision among the earlier published results and the present results for a special case is found to be in an excellent agreement. Rising the values of thermal relaxation time, reduces the temperature at near the cylinder due to domination of mixed convection in the flow.

## Keywords

Powell-Eyring fluid Cattaneo-Christov heat flux MHD Arrhenius activation energy## References

- 1.Javed, T., Ali, N., Abbas, Z., Sajid, M.: Flow of an Eyring-Powell non-Newtonian fluid over a stretching sheet. Chem. Eng. Commun.
**200(3)**, 327–336 (2013)CrossRefGoogle Scholar - 2.Srinivas Reddy, C., Kishan, N., Madhu M.: Finite element analysis of Eyring-Powell Nano fluid over an exponential stretching sheet. Int. J. Appl. Comput. Math,
**4(8)**, 1–13 (2018)MathSciNetzbMATHGoogle Scholar - 3.Adesanya, S.O., Ogunseye, H.A., Jangili S.: Unsteady squeezing flow of a radiative Eyring-Powell fluid channel flow with chemical reactions. Int. J. Therm. Sci.
**125**, 440–447 (2018)CrossRefGoogle Scholar - 4.Akbar, N.S., Nadeem, S.: Characteristics of heating scheme and mass transfer on the peristaltic flow for an Eyring–Powell fluid in an endoscope. Int. J. Heat Mass Transf.
**55**, 375–383 (2012)CrossRefGoogle Scholar - 5.Hayat, T., Gull, N., Farooq, M., Ahmad, B.: Thermal radiation effect in MHD flow of Powell-Eyring nanofluid induced by a stretching cylinder. J. Aerosp. Eng.
**29(1)**, 1–13 (2016)CrossRefGoogle Scholar - 6.Hayat, T., Nadeem, S.: Aspects of developed heat and mass flux models on 3D flow of Eyring-Powell fluid. Results Phys.
**7**, 3910–3917 (2017)CrossRefGoogle Scholar - 7.Oyelakin, I.S., Mondal, S., Sibanda, P.: Cattaneo-Christov Nanofluid flow and heat transfer with variable properties over a vertical cone in a porous medium. Int. J. Appl. Comput. Math.
**3(1)**, 1019–1034 (2017)MathSciNetCrossRefGoogle Scholar - 8.Dogonchi, A.S., Ganji, D.D.: Impact of Cattaneo–Christov heat flux on MHD nanofluid flow and heat transfer between parallel plates considering thermal radiation effect. J. Taiwan Inst. Chem. Eng. 1–12 (2017)Google Scholar
- 9.Malik, R., Khan, M., Mushtaq M.: Cattaneo-Christov heat flux model for Sisko fluid flow past a permeable non-linearly stretching cylinder. J. Mol. Liq.
**222**, 430–434 (2016)CrossRefGoogle Scholar - 10.Bala Anki Reddy, P., Bhaskar Reddy, N., Suneetha, S.: Radiation effects on MHD flow past an exponentially accelerated Isothermal vertical plate with uniform mass diffusion in the presence of Heat Source. J. Appl. Fluid Mech.
**5(3)**, 119–126 (2012)Google Scholar - 11.EL-Kabeir, S. M. M., Ali J. Chamkha, Rashad, A. M.: Heat and mass transfer by MHD stagnation-point flow of a power-law fluid towards a stretching surface with radiation, chemical reaction and Soret and Dufour effects. Int. J. Chem. React. Eng.
**8**, 1–18 (2010)Google Scholar - 12.Bala Anki Reddy, P.: Magnetohydrodynamic flow of a Casson fluid over an exponentially inclined permeable stretching surface with thermal radiation and chemical reaction. Ain Shams Eng. J.
**7**, 593–602 (2016)CrossRefGoogle Scholar - 13.Rashad, A.M., Modather M., Abdou, M., Chamkha A.J.: MHD free convective heat and mass transfer of a chemically-reacting fluid from radiate stretching surface embedded in a saturated porous medium. Int. J. Chem. React. Eng.
**9**, 1–15 (2011)Google Scholar - 14.Bala Anki Reddy, P., Suneetha, S.: Effects of homogeneous– heterogeneous chemical reaction and slip velocity on MHD stagnation flow of a micropolar fluid over a permeable stretching/shrinking surface embedded in a porous medium. Front. Heat Mass Transf.
**8(24)**, 1–11 (2017)Google Scholar - 15.Reddy, S.R.R., Bala Anki Reddy, P., Suneetha S.: Magnetohydrodynamic flow of blood in a permeable inclined stretching surface with viscous dissipation, non-uniform heat source/sink and chemical reaction. Front. Heat Mass Transf.
**10(22)**, 1–10 (2018)Google Scholar - 16.Chamkha, A.J., Rashad, A. M.: Unsteady heat and mass transfer by MHD mixed convection flow from a rotating vertical cone with chemical reaction and Soret and Dufour effects. Can. J. Chem. Eng.
**92(4)**, 758–767 (2014)CrossRefGoogle Scholar - 17.Mallikarjuna, B., Rashad, A. M., Chamkha, A.J. Hariprasad Raju, S.: Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime. Afrik. Mate.
**27(3)**, 646–665 (2016)MathSciNetCrossRefGoogle Scholar