Thermal characteristics of pseudoplastic non-Newtonian model with non-Fourier heat flux effect: A Numerical study | IJORET – Volume 11- Issue 4 | IJORET-V11I4P2

This study analyses the stagnation point flow of a non-Newtonian fluid past a stretching sheet, incorporating a non-Fourier heat flux model. By applying similarity transformations, the momentum, energy, and concentration equations are transformed into a system of ordinary differential equations. The numerical solution is obtained using the shooting method combined with the MATLAB software. The energy equation integrates the Cattaneo-Christov heat flux model. Velocity, temperature, and concentration profiles are examined for various fluid parameters, while key physical quantities such as the friction coefficient and Nusselt number are computed. Results indicate that an increase in the Williamson parameter enhances the Nusselt number while reducing the skin friction coefficient.

Williamson non-Newtonian fluid flow over a stretching sheet with Cattaneo-Christov heat flux is studied numerically with Buingrno model under convective heat transfer boundary condition using shooting method .Some of the important outcomes of this theoretical study are as follows: Stretching ratio parameter increases velocity profile. Skin friction coefficient decreases for Williamson parameter whereas Nusselt number increases for Williamson parameter. Sherwood number improved for Williamson parameter. Deborah number enhances temperature profile.

1. Sakiadis BC. Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow. AIChE J. 1961;7(1):26–8. 2. Sakiadis BC. Boundary‐layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface. AIChE J. 1961;7(2):221–5. 3. Sakiadis BC. Boundary‐layer behavior on continuous solid surfaces: III. The boundary layer on a continuous cylindrical surface. AIChE J. 1961;7(3):467–72. 4. Akram S, Nadeem S, Hanif M. Numerical and analytical treatment on peristaltic flow of Williamson fluid in the occurrence of induced magnetic field. J Magn Magn Mater. 2013;346:142–51. 5. Hayat T, Shafiq A, Alsaedi A. Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation. Alex Eng J. 2016 Sep 1;55(3):2229–40. 6. Halim NA, Sivasankaran S, Noor NFM. Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface. Neural Comput Appl. 2017 Dec 1;28(1):1023–33. 7. Gorla RSR, Gireesha BJ. Dual solutions for stagnation-point flow and convective heat transfer of a Williamson nanofluid past a stretching/shrinking sheet. Heat Mass TransferWaerme- Stoffuebertragung. 2016 Jun 1;52(6):1153–62. 8. Konda JR, N.P. MR, Konijeti R, Dasore A. Effect of non-uniform heat source/sink on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium. Multidiscip Model Mater Struct. 2019 Jan 1;15(2):452–72. 9. Kumar TP, Uma MS. MHD Casson nanofluid flow over a stretching surface with melting heat transfer condition. Heat Transf. n/a(n/a). 10. Hayat T, Kiyani MZ, Alsaedi A, Ijaz Khan M, Ahmad I. Mixed convective three-dimensional flow of Williamson nanofluid subject to chemical reaction. Int J Heat Mass Transf. 2018;127:422–9. 11. Ogunseye HA, Salawu SO, Fatunmbi EO. A numerical study of MHD heat and mass transfer of a reactive Casson–Williamson nanofluid past a vertical moving cylinder. Partial Differ Equ Appl Math. 2021;4(September):100148. 12. Cattaneo. Sulla Conduzione del Calore. 13. Christov CI. On frame indifferent formulation of the Maxwell–Cattaneo model of finite-speed heat conduction. Mech Res Commun. 2009;36(4):481–6. 14. Abbasi FM, Shehzad SA. Heat transfer analysis for three-dimensional flow of Maxwell fluid with temperature dependent thermal conductivity: Application of Cattaneo-Christov heat flux model. J Mol Liq. 2016;220:848–54. 15. Anantha Kumar K, Ramana Reddy J V., Sugunamma V, Sandeep N. Magnetohydrodynamic Cattaneo-Christov flow past a cone and a wedge with variable heat source/sink. Alex Eng J. 2018;57(1):435–43. 16. Sandeep N, Sulochana C. Momentum and heat transfer behaviour of Jeffrey, Maxwell and Oldroyd-B nanofluids past a stretching surface with non-uniform heat source/sink. Ain Shams Eng J. 2018 Dec 1;9(4):517–24. 17. Nazir U, Saleem S, Nawaz M, Sadiq MA, Alderremy AA. Study of transport phenomenon in Carreau fluid using Cattaneo–Christov heat flux model with temperature dependent diffusion coefficients. Phys Stat Mech Its Appl. 2020;554:123921. 18. Raju CSK, Kiran Kumar RVMSS, Varma SVK, Madaki AG, Durga Prasad P. Transpiration Effects on MHD Flow Over a Stretched Cylinder with Cattaneo–Christov Heat Flux with Suction or Injection. Arab J Sci Eng. 2018;43(5):2273–80. 19. Hayat T, Khan MI, Farooq M, Alsaedi A, Waqas M, Yasmeen T. Impact of Cattaneo-Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface. Int J Heat Mass Transf. 2016;99:702–10. 20. Rauf A, Shehzad SA, Abbas Z, Hayat T. Unsteady three-dimensional MHD flow of the micropolar fluid over an oscillatory disk with Cattaneo-Christov double diffusion. Appl Math Mech Engl Ed. 2019;40(10):1471–86. 21. Loganathan K, Sivasankaran S, Bhuvaneswari M, Rajan S. Second-order slip, cross-diffusion and chemical reaction effects on magneto-convection of Oldroyd-B liquid using Cattaneo–Christov heat flux with convective heating. J Therm Anal Calorim. 2019;136(1):401–9. 22. Ramadevi B, Kumar KA, Sugunamma V, Sandeep N. Influence of non-uniform heat source / sink on the three-dimensional magnetohydrodynamic Carreau fluid flow past a stretching surface with modified Fourier’s law. Pramana – J Phys. 2019;93(6). 23. Ahmad S, Nadeem S. Flow analysis by Cattaneo–Christov heat flux in the presence of Thomson and Troian slip condition. Appl Nanosci Switz. 2020;10(12):4673–87. 24. Khan MI, Alzahrani F. Transportation of heat through Cattaneo-Christov heat flux model in non-Newtonian fluid subject to internal resistance of particles. Appl Math Mech Engl Ed. 2020;41(8):1157–66. [Citation Format]

Submit Your Paper Call for Papers About IJORET Journal Scope Review Process