Magnetohydrodynamic Stagnation Point Flow and Heat Transfer of Casson Fluids Over a Stretching Sheet
DOI:
https://doi.org/10.37934/cfdl.17.2.163178Keywords:
Magnetohydrodynamics (MHD), Casson fluid, Thermal conductivity, Radiation, Optimal Homotopy Analysis Method (OHAM)Abstract
This research investigates the effects of heat transfer on the stagnation-point flow of a non-Newtonian Casson fluid in a two-dimensional magnetohydrodynamic (MHD) boundary layer over a stretched sheet, considering thermal radiation impacts. By employing similarity transformations, the governing partial differential equations are transformed into nonlinear ordinary differential equations. The obtained self-similar equations are numerically solved using the Optimal Homotopy Analysis Method (OHAM). The numerical results are graphically represented, showcasing the influence of various parameters on fluid flow and heat transfer characteristics. The study uncovers important dynamics in transport phenomena. Examining and illustrating the effects of dimensionless parameters on velocity, temperature, and concentration profiles reveal significant insights. Moreover, skin friction and Nusselt number results for Casson fluids are analyzed and presented. The findings indicate that the Casson parameter and Hartman number act in opposition to fluid momentum, while the thermal conductivity parameter enhances fluid temperature. Thus, this research provides valuable insights into MHD boundary layer flows of non-Newtonian Casson fluids with thermal radiation effects, and the OHAM solution method proves effective in predicting flow transport properties.
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References
Casson, N. "Flow equation for pigment-oil suspensions of the printing ink-type." Rheology of disperse systems (1959): 84-104.
Fredrickson, Arnold Gerhard. "Principles and applications of rheology." (1964): 13.
Attia, Hazem A. "Unsteady hydromagnetic channel flow of dusty fluid with temperature dependent viscosity and thermal conductivity." Heat and mass transfer 42, no. 9 (2006): 779-787. https://doi.org/10.1007/s00231-005-0044-z DOI: https://doi.org/10.1007/s00231-005-0044-z
Mitsoulis, E. "Flows of Viscoelastic Materials: Models and Computations." In The British Society of Rheology, 135–178. 2007.
Kameswaran, P. K., M. Narayana, P. Sibanda, and P. V. S. N. Murthy. "Hydromagnetic nanofluid flow due to a stretching or shrinking sheet with viscous dissipation and chemical reaction effects." International Journal of Heat and Mass Transfer 55, no. 25-26 (2012): 7587-7595. https://doi.org/10.1016/j.ijheatmasstransfer.2012.07.065 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2012.07.065
Hayat, T., S. A. Shehzad, and A. Alsaedi. "Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid." Applied Mathematics and Mechanics 33 (2012): 1301-1312. https://doi.org/10.1007/s10483-012-1623-6 DOI: https://doi.org/10.1007/s10483-012-1623-6
Umavathi, Jawali C., A. J. Chamkha, and Syed Mohiuddin. "Combined effect of variable viscosity and thermal conductivity on free convection flow of a viscous fluid in a vertical channel." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 1 (2016): 18-39. https://doi.org/10.1108/HFF-12-2014-0385 DOI: https://doi.org/10.1108/HFF-12-2014-0385
Yazdi, M. H., S. Abdullah, I. Hashim, and K. Sopian. "Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction." International Journal of Heat and Mass Transfer 54, no. 15-16 (2011): 3214-3225. https://doi.org/10.1016/j.ijheatmasstransfer.2011.04.009 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2011.04.009
Bhattacharyya, Krishnendu, and G. C. Layek. "Slip effect on diffusion of chemically reactive species in boundary layer flow over a vertical stretching sheet with suction or blowing." Chemical Engineering Communications 198, no. 11 (2011): 1354-1365. https://doi.org/10.1080/00986445.2011.560515 DOI: https://doi.org/10.1080/00986445.2011.560515
Khan, Yasir, Qingbiao Wu, Naeem Faraz, and Ahmet Yildirim. "The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet." Computers & Mathematics with Applications 61, no. 11 (2011): 3391-3399. https://doi.org/10.1016/j.camwa.2011.04.053 DOI: https://doi.org/10.1016/j.camwa.2011.04.053
Mukhopadhyay, Swati. "Casson fluid flow and heat transfer over a nonlinearly stretching surface." Chinese Physics B 22, no. 7 (2013): 074701. https://doi.org/10.1088/1674-1056/22/7/074701 DOI: https://doi.org/10.1088/1674-1056/22/7/074701
Afify, Ahmed A. "The influence of slip boundary condition on Casson nanofluid flow over a stretching sheet in the presence of viscous dissipation and chemical reaction." Mathematical Problems in Engineering 2017, no. 1 (2017): 3804751. https://doi.org/10.1155/2017/3804751 DOI: https://doi.org/10.1155/2017/3804751
Aurangzaib, A. R. M. Kasim, N. F. Mohammad, and Sharidan Shafie. "Effect of thermal stratification on MHD free convection with heat and mass transfer over an unsteady stretching surface with heat source, Hall current and chemical reaction." International Journal of Advances in Engineering Sciences and Applied Mathematics 4 (2012): 217-225. https://doi.org/10.1007/s12572-012-0066-y DOI: https://doi.org/10.1007/s12572-012-0066-y
Shehzad, S. A., T. Hayat, M. Qasim, and S. Asghar. "Effects of mass transfer on MHD flow of Casson fluid with chemical reaction and suction." Brazilian journal of chemical engineering 30 (2013): 187-195. https://doi.org/10.1590/S0104-66322013000100020 DOI: https://doi.org/10.1590/S0104-66322013000100020
Pal, Dulal, and Gopinath Mandal. "Influence of thermal radiation on mixed convection heat and mass transfer stagnation-point flow in nanofluids over stretching/shrinking sheet in a porous medium with chemical reaction." Nuclear Engineering and Design 273 (2014): 644-652. https://doi.org/10.1016/j.nucengdes.2014.01.032 DOI: https://doi.org/10.1016/j.nucengdes.2014.01.032
Gireesha, Bijjanal Jayanna, M. R. Krishnamurthy, Ballajja Chandrappa Prasannakumara, and Rama Subba Reddy Gorla. "MHD flow and nonlinear radiative heat transfer of a Casson nanofluid past a nonlinearly stretching sheet in the presence of chemical reaction." Nanoscience and Technology: An International Journal 9, no. 3 (2018). https://doi.org/10.1615/NanoSciTechnolIntJ.2018020102 DOI: https://doi.org/10.1615/NanoSciTechnolIntJ.2018020102
Khan, Arshad, Dolat Khan, Ilyas Khan, Farhad Ali, and Muhammad Imran. "MHD flow of sodium alginate-based Casson type nanofluid passing through a porous medium with Newtonian heating." Scientific reports 8, no. 1 (2018): 1-12. https://doi.org/10.1038/s41598-018-26994-1 DOI: https://doi.org/10.1038/s41598-018-26994-1
Ibrahim, S. M., P. V. Kumar, G. Lorenzini, E. Lorenzini, and F. Mabood. "Numerical study of the onset of chemical reaction and heat source on dissipative MHD stagnation point flow of Casson nanofluid over a nonlinear stretching sheet with velocity slip and convective boundary conditions." Journal of engineering thermophysics 26 (2017): 256-271. https://doi.org/10.1134/S1810232817020096 DOI: https://doi.org/10.1134/S1810232817020096
Animasaun, I. L. "Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction." Journal of the Nigerian Mathematical Society 34, no. 1 (2015): 11-31.
Damseh, Rebhi A., M. Q. Al-Odat, Ali J. Chamkha, and Benbella A. Shannak. "Combined effect of heat generation or absorption and first-order chemical reaction on micropolar fluid flows over a uniformly stretched permeable surface." International Journal of Thermal Sciences 48, no. 8 (2009): 1658-1663. https://doi.org/10.1016/j.ijthermalsci.2008.12.018 DOI: https://doi.org/10.1016/j.ijthermalsci.2008.12.018
Magyari, Eugen, and Ali J. Chamkha. "Combined effect of heat generation or absorption and first-order chemical reaction on micropolar fluid flows over a uniformly stretched permeable surface: The full analytical solution." International Journal of Thermal Sciences 49, no. 9 (2010): 1821-1828. https://doi.org/10.1016/j.ijthermalsci.2010.04.007 DOI: https://doi.org/10.1016/j.ijthermalsci.2010.04.007
Malik, M. Y., M. Naseer, S. Nadeem, and Abdul Rehman. "The boundary layer flow of Casson nanofluid over a vertical exponentially stretching cylinder." Applied Nanoscience 4 (2014): 869-873. https://doi.org/10.1007/s13204-013-0267-0 DOI: https://doi.org/10.1007/s13204-013-0267-0
Pramanik, S. "Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation." Ain shams engineering journal 5, no. 1 (2014): 205-212. https://doi.org/10.1016/j.asej.2013.05.003 DOI: https://doi.org/10.1016/j.asej.2013.05.003
Siddiqui, Abdul M., Sania Irum, and Ali R. Ansari. "Unsteady squeezing flow of a viscous MHD fluid between parallel plates, a solution using the homotopy perturbation method." Mathematical Modelling and Analysis 13, no. 4 (2008): 565-576. https://doi.org/10.3846/1392-6292.2008.13.565-576 DOI: https://doi.org/10.3846/1392-6292.2008.13.565-576
Prasad, K. V., K. Vajravelu, Hanumesh Vaidya, and Robert A. Van Gorder. "MHD flow and heat transfer in a nanofluid over a slender elastic sheet with variable thickness." Results in physics 7 (2017): 1462-1474. https://doi.org/10.1016/j.rinp.2017.03.022 DOI: https://doi.org/10.1016/j.rinp.2017.03.022
Prasad, K. V., Hanumesh Vaidya, Oluwole Daniel Makinde, and B. Srikantha Setty. "MHD mixed convective flow of Casson nanofluid over a slender rotating disk with source/sink and partial slip effects." In Defect and diffusion forum, vol. 392, pp. 92-122. Trans Tech Publications Ltd, 2019. https://doi.org/10.4028/www.scientific.net/DDF.392.92 DOI: https://doi.org/10.4028/www.scientific.net/DDF.392.92
Vaidya, Hanumesh, and Kerehalli Vinayaka Prasad. "Significances of homogeneous-heterogeneous reactions on casson fluid over a slippery stretchable rotating disk with variable thickness." CFD Letters 11, no. 4 (2019): 41-63.
Vaidya, Hanumesh, K. V. Prasad, Kuppalapalle Vajravelu, B. Srikantha Setty, and Oluwole Daniel Makinde. "Influence of variable liquid properties on magnetohydrodynamic flow and heat transfer of a Casson liquid over a slender rotating disk: numerical and optimal solution." Computational Thermal Sciences: An International Journal 12, no. 1 (2020). https://doi.org/10.1615/ComputThermalScien.2019029098 DOI: https://doi.org/10.1615/ComputThermalScien.2019029098
Ramanuja, Mani, G. Gopi Krishna, Hari Kamala Sree, and S. R. Mishra. "Characteristics of Newtonian heating on electrically conducting water-based nano-fluid with in permeable vertical micro-channels." J. Math. Comput. Sci. 12 (2021): Article-ID.
Ramanuja, M., J. Kavitha, A. Sudhakar, and N. Radhika. "Study of MHD SWCNT-Blood Nanofluid Flow in Presence of Viscous Dissipation and Radiation Effects through Porous Medium." Journal of the Nigerian Society of Physical Sciences (2023): 1054-1054. https://doi.org/10.46481/jnsps.2023.1054 DOI: https://doi.org/10.46481/jnsps.2023.1054
Reddy, Y. Dharmendar, V. Srinivasa Rao, and M. Anil Kumar. "Effect of heat generation/absorption on MHD copper-water nanofluid flow over a non-linear stretching/shrinking sheet." In AIP Conference Proceedings, vol. 2246, no. 1. AIP Publishing, 2020. https://doi.org/10.1063/5.0014438 DOI: https://doi.org/10.1063/5.0014438
Goud, B. Shankar, Yanala Dharmendar Reddy, Nawal A. Alshehri, Wasim Jamshed, Rabia Safdar, Mohamed R. Eid, and Mohamed Lamjed Bouazizi. "Numerical case study of chemical reaction impact on MHD micropolar fluid flow past over a vertical riga plate." Materials 15, no. 12 (2022): 4060. https://doi.org/10.3390/ma15124060 DOI: https://doi.org/10.3390/ma15124060
Bejawada, Shankar Goud, Wasim Jamshed, Rabia Safdar, Yanala Dharmendar Reddy, Meznah M. Alanazi, Heba Y. Zahran, and Mohamed R. Eid. "Chemical reactive and viscous dissipative flow of magneto nanofluid via natural convection by employing Galerkin finite element technique." Coatings 12, no. 2 (2022): 151. https://doi.org/10.3390/coatings12020151 DOI: https://doi.org/10.3390/coatings12020151
Sridhar, Wuriti, Talla Hymavathi, Sameh E. Ahmed, Abdulaziz Alenazi, and Ganugapati Raghavendra Ganesh. "Keller Box procedure for stagnation point flow of EMHD Casson nanofluid over an absorbent stretched electromagnetic plate with chemical reaction." Numerical Heat Transfer, Part A: Applications 85, no. 17 (2024): 2851-2868. https://doi.org/10.1080/10407782.2023.2229949 DOI: https://doi.org/10.1080/10407782.2023.2229949
Shankar Goud, Bejawada, Yanala Dharmendar Reddy, and Satyaranjan Mishra. "Joule heating and thermal radiation impact on MHD boundary layer Nanofluid flow along an exponentially stretching surface with thermal stratified medium." Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems 237, no. 3-4 (2023): 107-119. https://doi.org/10.1177/23977914221100961 DOI: https://doi.org/10.1177/23977914221100961
Mahmood, Zafar, Saad Althobaiti, Adnan, and Umar Khan. "Nanoparticle aggregation effect over MHD oblique stagnation point flow of the convective surface of nanoliquids." Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems (2023): 23977914231214863. https://doi.org/10.1177/23977914231214863 DOI: https://doi.org/10.1177/23977914231214863
Rafique, Khadija, Zafar Mahmood, Aisha M. Alqahtani, Awatif MA Elsiddieg, Umar Khan, Wejdan Deebani, and Meshal Shutaywi. "Impacts of thermal radiation with nanoparticle aggregation and variable viscosity on unsteady bidirectional rotating stagnation point flow of nanofluid." Materials Today Communications 36 (2023): 106735. https://doi.org/10.1016/j.mtcomm.2023.106735 DOI: https://doi.org/10.1016/j.mtcomm.2023.106735
Adnan, Raad Suhail Ahmed, Iman Adnan Annon, Sundus M. Noori, and Dauod Selman Dauod. "Effect of short heat treatment on mechanical properties and shape memory properties of Cu–Al–Ni shape memory alloy." Open Engineering 14, no. 1 (2024): 20240013. https://doi.org/10.1515/eng-2024-0013 DOI: https://doi.org/10.1515/eng-2024-0013
Ali, Bilal, Sidra Jubair, Zafar Mahmood*, and Md Irfanul Haque Siddiqui. "Electrically conducting mixed convective nanofluid flow past a nonlinearly slender Riga plate subjected to viscous dissipation and activation energy." Modern Physics Letters B (2024): 2450336. https://doi.org/10.1142/S0217984924503366 DOI: https://doi.org/10.1142/S0217984924503366
Rafique, Khadija, Zafar Mahmood, Adnan, Umar Khan, Taseer Muhammad, Magda Abd El-Rahman, Sanaa A. Bajri, and Hamiden Abd El-Wahed Khalifa. "Numerical investigation of entropy generation of Joule heating in non-axisymmetric flow of hybrid nanofluid towards stretching surface." Journal of Computational Design and Engineering 11, no. 2 (2024): 146-160. https://doi.org/10.1093/jcde/qwae029 DOI: https://doi.org/10.1093/jcde/qwae029
Brewster, M. Quinn. Thermal radiative transfer and properties. John Wiley & Sons, 1992.
Liao, Shijun. "An optimal homotopy-analysis approach for strongly nonlinear differential equations." Communications in Nonlinear Science and Numerical Simulation 15, no. 8 (2010): 2003-2016. https://doi.org/10.1016/j.cnsns.2009.09.002 DOI: https://doi.org/10.1016/j.cnsns.2009.09.002
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