journal article·2022-02-24Open access

Numerical Analysis of Newtonian Heating Convective Flow by Way of Two Different Surfaces

Khalil Ur Rehman, Wasfi Shatanawi, Shazia Ashraf, Nabeela Kousar

Applied Sciences· Volume 12· Issue 5

Abstract

In this paper, we offer a numerical study on heated non-Newtonian fluid with a Newtonian heating effect towards thermally stable stretching surfaces. A comparative analysis for two stretched surfaces, namely, plate and cylinder, is offered. The Casson fluid model is considered to be a non-Newtonian fluid model. By applying the suitable set of transformations, the non-linear coupled PDEs are transformed into non-linear ODEs. It is difficult to obtain the exact solution of such non-linear differential equations; therefore, we used the shooting method along with Runge–Kutta scheme. The influence of pertinent flow variables on velocity and temperature is presented through graphs. Notably from the results, heat generation parameters, Newtonian heating, and magnetic parameters enhanced the temperature profile, whereas Casson fluid and magnetic field parameters reduced the fluid velocity. It is also observed that increases in fluid temperature were more influenced at the cylindrical surface as compared with the flat plate. Moreover, we obtained remarkable results for the heat transfer rate by imposing Newtonian heating conditions at the surface; tables are used to present variations in the skin friction coefficient and Nusselt number at the thermally stable surfaces.
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Research context

OpenAlex topics: Nanofluid Flow and Heat Transfer · Heat Transfer Mechanisms · Heat Transfer and Optimization

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan

Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan

References (33)

Show source-provided references
1. Flow past a stretching plate10.1007/BF01587695 ↗
2. Heat and mass transfer on a stretching sheet with suction or blowing10.1002/cjce.5450550619 ↗
3. Temperature field in flow over a stretching sheet with uniform heat flux10.1016/0735-1933(85)90010-7 ↗
4. Heat transfer of a continuous, stretching surface with suction or blowing10.1016/0022-247X(88)90172-2 ↗
5. Viscous flow over a nonlinearly stretching sheet
6. Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet10.1016/j.icheatmasstransfer.2007.08.006 ↗
7. Boundary-layer flow of a nanofluid past a stretching sheet10.1016/j.ijheatmasstransfer.2010.01.032 ↗
8. Flow of Sisko fluid over a stretching cylinder and heat transfer with viscous dissipation and variable thermal conductivity: A numerical study10.1063/1.4948458 ↗
9. Temperature and concentration stratification effects on non-Newtonian fluid flow past a cylindrical surface10.1016/j.rinp.2017.09.032 ↗
10. Heat transfer analysis of Casson dusty flu-id flow along a vertical wavy cone with radiating surface10.1016/j.ijheatmasstransfer.2018.08.022 ↗
11. Comparative analysis on non-linear radiative heat transfer on MHD Casson nanofluid past a thin needle10.1016/j.molliq.2019.03.151 ↗
12. Influence of fin height on heat transfer and fluid flow characteristics of rectangular microchannel heat sink10.1016/j.ijheatmasstransfer.2019.04.012 ↗
13. Heat transfer and flow analysis of Casson fluid enclosed in a partially heated trapezoidal cavity10.1016/j.icheatmasstransfer.2019.104284 ↗
14. A new model of fractional Casson fluid based on generalized Fick’s and Fourier’s laws together with heat and mass transfer10.1016/j.aej.2019.12.023 ↗
15. Theoretical analysis of thermal characteristics of casson nano fluid flow past an exponential stretching sheet in Darcy porous media10.1016/j.csite.2020.100717 ↗
16. Effects of the shape of tube and flow field on fluid flow and heat transfer10.1016/j.icheatmasstransfer.2020.104782 ↗
17. Finite element analysis of hybrid nanofluid flow and heat transfer in a split lid-driven square cavity with Y-shaped obstacle10.1063/5.0021638 ↗
18. Effect of slip boundary condition on flow and heat transfer of a double fractional Maxwell fluid10.1016/j.cjph.2020.09.003 ↗
19. Heat/mass transfer analogy in the case of convective fluid flow through minichannels10.1016/j.ijthermalsci.2020.106467 ↗
20. Computational analysis of nano-fluid due to a non-linear variable thicked stretching sheet subjected to Joule heating and thermal radiation10.1016/j.jmrt.2020.07.085 ↗
21. Modeling heat transfer in fluid flow near a decelerating rotating disk with variable fluid properties10.1016/j.icheatmasstransfer.2020.104673 ↗
22. Thermophysical aspects of magnetized Williamson fluid flow subject to both porous and non-porous surfaces: A Lie symmetry analysis10.1016/j.csite.2021.101688 ↗
23. Lattice Boltzmann simulation of fluid flow and heat transfer in a micro channel with heat sources located on the walls10.1016/j.spmi.2021.107069 ↗
24. Rehman, K.U., Shatanawi, W., and Shatnawi, T.A. (2021). On Thermal Energy Transport Complications in Chemically Reactive Liquidized Flow Fields Manifested with Thermal Slip Arrangements. Energies, 24.10.3390/en14248530 ↗
25. Impact of Joule heating and multiple slips on a Maxwell nanofluid flow past a slendering surface10.1088/1572-9494/ac3bc8 ↗
26. Thermal analysis on uniformly heated diamond obstruction in convective liquid suspension10.1016/j.csite.2021.101062 ↗
27. Unsteady flow and heat transfer of tangent-hyperbolic fluid: Legendre wavelet-based analysis10.1002/htj.22019 ↗
28. Comparative study of heat and mass transfer of generalized MHD Oldroyd-B bio-nano fluid in a permeable medium with ramped conditions10.1038/s41598-021-02326-8 ↗
29. A group theoretic analysis on heat transfer in MHD thermally slip Carreau fluid subject to multiple flow regimes (MFRs)10.1016/j.csite.2022.101787 ↗
30. Investigation of shape effects of Cu-nanoparticle on heat transfer of MHD rotating flow over nonlinear stretching sheet10.1016/j.aej.2021.10.007 ↗
31. Magnetohydrodynamic flow of Casson fluid over a stretching cylinder10.1016/j.rinp.2017.01.005 ↗
32. MHD boundary layer flow and heat transfer over an exponentially stretching sheet embedded in a thermally stratified medium10.1016/j.aej.2013.02.003 ↗
33. Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation