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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
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Articles

Heat transfer analysis of MHD Casson nanofluid flow over a nonlinear stretching sheet in the presence of nonuniform heat source

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Pages 2145-2164 | Received 28 Feb 2023, Accepted 22 May 2023, Published online: 18 Jun 2023

References

  • L. J. Crane, “Flow past a stretching plate,” J. Appl. Math. Phys., vol. 21, no. 4, pp. 645–647, Jul. 1970. DOI: 10.1007/BF01587695.
  • V. Kumaran and G. Ramanaiah, “A note on the flow over stretching sheet,” Acta Mech., vol. 116, no. 14, pp. 229–233, Mar. 1996. DOI: 10.1007/BF01171433.
  • A. Raptis and C. Perdikis, “Viscous flow over a nonlinear stretching sheet in the presence of a chemical reaction and magnetic field,” Int. J. Nonlinear Mech., vol. 41, no. 4, pp. 527–529, May 2006. DOI: 10.1016/j.ijnonlinmec.2005.12.003.
  • R. Cortell, “Further results on nonlinearly stretching permeable sheets. Analytic solution for MHD flow and mass transfer,” Math. Probl. Eng., vol. 2012, no. 12, pp. 1–18, Dec. 2012. DOI: 10.1155/2012/743130.
  • N. A. Kelson, “Note on similarity solutions for viscous flow over an impermeable and non-linearly (quadratic) stretching sheet,” Int. J. Nonlinear Mech., vol. 46, no. 8, pp. 1090–1091, Oct. 2011. DOI: 10.1016/j.ijnonlinmec.2011.04.025.
  • R. Cortell, “MHD (magneto-hydrodynamic) flow and radiative nonlinear heat transfer of a viscoelastic fluid over a stretching sheet with heat generation/absorption,” Energy, vol. 74, pp. 896–905, Sept. 2014. DOI: 10.1016/j.energy.2014.07.069.
  • M. Abd-El-Aziz, “Viscous dissipation effect on mixed convection flow of a micropolar fluid over an exponentially stretching sheet,” Can. J. Phys., vol. 87, no. 4, pp. 359–368, Jun. 2009. DOI: 10.1139/P09-047.
  • A. Ishak, “MHD boundary layer flow due to an exponentially stretching sheet with radiation effect,” Sains Malaysiana, vol. 40, no. 4, pp. 391–395, Apr. 2011.
  • A. Zeeshan and R. Ellahi, “Series solutions for nonlinear partial differential equations with slip boundary conditions for non-Newtonian MHD fluid in porous space,” Appl. Math. Inf. Sci., vol. 7, no. 1, pp. 257–265, Jan. 2013. DOI: 10.12785/amis/070132.
  • K. M. Sanni, Q. Hussain, and S. Asghar, “Heat transfer analysis for non-linear boundary driven flow over a curved stretching sheet with a variable magnetic field,” Front. Phys., vol. 8, pp 113, Apr. 2020. DOI: 10.3389/fphy.2020.00113.
  • J. Alinejad and S. Samarbakhsh, “Viscous flow over nonlinearly stretching sheet with effects of viscous dissipation,” J. Appl. Math., vol. 2012, pp. 1–10, May 2012. DOI: 10.1155/2012/587834.
  • S. U. S. Choi and J. A. Eastman, “Enhancing thermal conductivity of fluids with nanoparticles,” Proceedings of the ASME Materials Division: presented at the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, California, November 12–17, 1995.
  • S. U. S. Choi, Z. G. Zhang, W. Yu, F. E. Lockwood, and E. A. Grulke, “Anomalous thermal conductivity enhancement in nanotube suspensions,” Appl. Phys. Lett., vol. 79, no. 14, pp. 2252–2254, Oct. 2001. DOI: 10.1063/1.1408272.
  • W. Ibrahim and B. Shankar, “MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions,” Comput. Fluids, vol. 75, pp. 1–10, Apr. 2013. DOI: 10.1016/j.compfluid.2013.01.014.
  • K. Das, “Nano fluid flow over a non-linear permeable stretching sheet with partial slip,” J. Egypt. Math. Soc., vol. 23, no. 2, pp. 451–456, Jul. 2015. DOI: 10.1016/j.joems.2014.06.014.
  • J. Buongiorno, “Convective transport in nano fluids,” J. Heat Transf., vol. 128, no. 3, pp. 240–250, Mar. 2006. DOI: 10.1115/1.2150834.
  • S. V. Desale and V. H. Pradhan, “Implicit finite difference solution of boundary layer heat flow over a flat plate,” IOSR-JM., vol. 9, no. 3, pp. 16–21, Dec. 2013. DOI: 10.9790/5728-0931621.
  • K. Zaimi, A. Ishak, and I. Pop, “Boundary layer flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid,” Sci. Rep., vol. 4, no. 1, pp. 4404, Mar. 2014. DOI: 10.1038/srep04404.
  • J. Singh, U. S. Mahabaleshwar, and G. Bognár, “Mass transpiration in nonlinear MHD flow due to porous stretching sheet,” Sci. Rep., vol. 9, no. 1, pp 18484, Dec. 2019. DOI: 10.1038/s41598-019-52597-5.
  • S. Nadeem et al., “Numerical computations for Buongiorno nano fluid model on the boundary layer flow of viscoelastic fluid towards a nonlinear stretching sheet,” Alex. Eng. J., vol. 61, no. 2, pp. 1769–1778, Feb. 2022. DOI: 10.1016/j.aej.2021.11.013.
  • A. B. Jafar, S. Shafie, and I. Ullah, “MHD radiative nanofluid flow induced by a nonlinear stretching sheet in a porous medium,” Heliyon., vol. 6, no. 6, pp. e04201, Jun. 2020. DOI: 10.1016/j.heliyon.2020.e04201.
  • F. Mabood, W. A. Khan, and A. I. M. Ismail, “MHD boundary layer flow and heat transfer of nano fluids over a nonlinear stretching sheet: A numerical study,” J. Magn. Magn. Mater., vol. 374, pp. 569–576, Jan. 2015. DOI: 10.1016/j.jmmm.2014.09.013.
  • K. Gangadhar, R. Edukondala Nayak, and M. Venkata Subba Rao, “Buoyancy effect on mixed convection boundary layer flow of Casson fluid over a non-linear stretched sheet using the spectral relaxation method,” Int. J. Ambient Energy, vol. 43, no. 1, pp. 1994–2002, Feb. 2022. DOI: 10.1080/01430750.2020.1722963.
  • K. Anantha Kumar, V. Sugunamma, and N. Sandeep, “Effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet,” J. Therm. Anal. Calorim., vol. 140, no. 5, pp. 2377–2385, Nov. 2020. DOI: 10.1007/s10973-019-08977-0.
  • A. C. Venkata Ramudu, K. Anantha Kumar, V. Sugunamma, and N. Sandeep, “Impact of Soret and Dufour on MHD Casson fluid flow past a stretching surface with convective–diffusive conditions,” J. Therm. Anal. Calorim., vol. 147, no. 3, pp. 2653–2663, Feb. 2022. DOI: 10.1007/s10973-021-10569-w.
  • K. A. Kumar, V. Sugunamma, N. Sandeep, and M. T. Mustafa, “Simultaneous solutions for first order and second order slips on micropolar fluid flow across a convective surface in the presence of Lorentz force and variable heat source/sink,” Sci. Rep., vol. 9, no. 1, pp 14706, Oct. 2019. DOI: 10.1038/s41598-019-51242-5.
  • M. M. Nandeppanavar, “Melting heat transfer analysis of non-Newtonian Casson fluid due to moving plate,” EC., vol. 35, no. 3, pp. 1301–1313, May 2018. DOI: 10.1108/EC-04-2017-0148.
  • M. S. Abel and M. M. Nandeppanavar, “Effects of thermal radiation and non-uniform heat source on MHD flow of viscoelastic fluid and heat transfer over a stretching sheet,” Int. J. Appl. Mech. Eng., vol. 12, no. 4, pp. 903–918, 2007.
  • S. G. Bejawada and M. M. Nandeppanavar, “Effect of thermal radiation on magneto hydrodynamics heat transfer micropolar fluid flow over a vertical moving porous plate,” Exp. Comput. Multiph. Flow, vol. 5, no. 2, pp. 149–158, Mar. 2023. DOI: 10.1007/s42757-021-0131-5.
  • S. P. Malkeson, S. Alshaaili, and N. Chakraborty, “Numerical investigation of steady state laminar natural convection of power-law fluids in side-cooled trapezoidal enclosures heated from the bottom,” Numer. Heat Transf. Part A: Appl., vol. 83, no. 7, pp. 770–789, Jan. 2023. DOI: 10.1080/10407782.2022.2157353.
  • C. S. K. Raju, N. Sandeep, C. Sulochana, and M. Jayachandra Babu, “Dual solutions of MHD boundary layer flow past an exponentially stretching sheet with non-uniform heat source/sink,” JAFM., vol. 9, no. 2, pp. 555–563, Feb. 2016. DOI: 10.18869/acadpub.jafm.68.225.24784.
  • W. N. Mutuku, “MHD non-linear boundary layer flow and heat transfer of nanofluids past a permeable moving flat surface with thermal radiation and viscous dissipation,” Univer. J. Fluid Mech., vol. 2, pp. 55–68, 2014.
  • A. Lazarus Godson, “Nano fluid heat transfer and applications,” J. Therm. Eng., vol. 1, no. 2, pp. 113–115, Apr. 2015.
  • N. G. Rudraswamy and B. J. Gireesha, “Influence of chemical reaction and thermal radiation on MHD boundary layer flow and heat transfer of a nano fluid over an exponentially stretching sheet,” JAMP., vol. 02, no. 02, pp. 24–32, Jan. 2014. DOI: 10.4236/jamp.2014.22004.
  • P. S. Gupta and A. S. Gupta, “Heat and mass transfer on a stretching sheet with suction or blowing,” Can. J. Chem. Eng., vol. 55, no. 6, pp. 744–746, Dec. 1977. DOI: 10.1002/cjce.5450550619.
  • E. Magyari and B. Keller, “Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface,” J. Phys. D: Appl. Phys., vol. 32, no. 5, pp. 577–585, Mar. 1999. DOI: 10.1088/0022-3727/32/5/012.
  • N. Sandeep and C. Sulochana, “Dual solutions for unsteady mixed convection flow of MHD micropolar fluid over a stretching/shrinking sheet with non-uniform heat source/sink,” Eng. Sci. Technol. Int. J., vol. 18, no. 4, pp. 738–745, Dec. 2015. DOI: 10.1016/j.jestch.2015.05.006.
  • M. G. Reddy, “Influence of magneto hydrodynamic and thermal radiation boundary layer flow of a nano fluid past a stretching sheet,” J. Sci. Res., vol. 6, no. 2, pp. 257–272, Apr. 2014. DOI: 10.3329/jsr.v6i2.17233.
  • N. S. Yousef, A. M. Megahed, I. N. Ghoneim, M. Elsafi, and E. Fares, “Chemical reaction impact on MHD dissipative Casson-Williamson nanofluid flow over a slippery stretching sheet through porous medium,” Alex. Eng. J., vol. 61, no. 12, pp. 10161–10170, Dec. 2022. DOI: 10.1016/j.aej.2022.03.032.
  • S. Ahmad, M. Naveed Khan, and S. Nadeem, “Unsteady three dimensional bioconvective flow of Maxwell nanofluid over an exponentially stretching sheet with variable thermal conductivity and chemical reaction,” Int. J. Ambient Energy, vol. 43, no. 1, pp. 6542–6552, Feb. 2022. DOI: 10.1080/01430750.2022.2029765.
  • H. Dessie and N. Kishan, “Unsteady MHD flow of heat and mass transfer of nanofluids over stretching sheet with a non-uniform heat/source/sink considering viscous dissipation and chemical reaction,” JERA., vol. 14, pp. 1–12, Mar. 2015. DOI: 10.4028/www.scientific.net/JERA.14.1.
  • T. Vijayalaxmi and B. Shankar, “Hydromagnetic flow and heat transfer of Williamson nanofluid over an inclined exponential stretching sheet in the presence of thermal radiation and chemical reaction with slip conditions,” J. Nanofluids, vol. 5, no. 6, pp. 826–838, Dec. 2016. DOI: 10.1166/jon.2016.1283.
  • R. M. Kasmani, S. Sivasankaran, M. Bhuvaneswari, and Z. Siri Kasmani, “Effect of chemical reaction on convective heat transfer of boundary layer flow in nanofluid over a wedge with heat generation/absorption and suction,” JAFM., vol. 9, no. 1, pp. 379–388, Dec. 2016. DOI: 10.18869/acadpub.jafm.68.224.24151.
  • S. A. Shehzad, T. Hayat, M. Qasim, and S. Asghar, “Effects of mass transfer on MHD flow of Casson fluid with chemical reaction and suction,” Braz. J. Chem. Eng., vol. 30, no. 1, pp. 187–195, Mar. 2013. DOI: 10.1590/S0104-66322013000100020.
  • B. C. Prasannakumara, B. J. Gireesha, Rama, S. R. Gorla, and M. R. Krishnamurthy, “Effects of chemical reaction and nonlinear thermal radiation on Williamson nanofluid slip flow over a stretching sheet embedded in a porous medium,” J. Aerosp. Eng., vol. 29, no. 5, Sept. 2016. DOI: 10.1061/(ASCE)AS.1943-5525.0000578.
  • M. R. Krishnamurthy, B. C. Prasanna Kumara, B. J. Gireesha, and G. Rama Subba Reddy, “Effect of chemical reaction on MHD boundary layer flow and melting heat transfer of williamson nano fluid in porous medium,” Eng. Sci. Technol., vol. 19, no. 1, pp. 53–61, Mar. 2016. DOI: 10.1016/j.jestch.2015.06.010.
  • S. M. Abo-Dahab, M. A. Abdelhafez, F. Mebarek-Oudina, and S. M. Bilal, “MHD Casson nanofluid flow over nonlinearly heated porous medium in presence of extending surface effect with suction/injection,” Indian J. Phys., vol. 95, no. 12, pp. 2703–2717, Jan. 2021. DOI: 10.1007/s12648-020-01923-z.
  • M. Nakamura and T. Sawada, “Numerical study on the flow of a non-Newtonian fluid through an axisymmetric stenosis,” J. Biomech. Eng., vol. 110, no. 2, pp. 137–143, May 1988. DOI: 10.1115/1.3108418.
  • S. Mukhopadhyay, I. C. Mondal, and A. J. Chamkha, “Casson fluid flow and heat transfer past a symmetric wedge,” Heat Transf. Asian Res., vol. 42, no. 8, pp. 665–675, Jun. 2013. DOI: 10.1002/htj.21065.
  • W. A. Khan and I. Pop, “Boundary-layer flow of a nanofluid past a stretching sheet,” Int. J. Heat Mass Transf., vol. 53, no. 1112, pp. 2477–2483, May 2010. DOI: 10.1016/j.ijheatmasstransfer.2010.01.032.
  • T. Srinvasulu and S. Bandari, “MHD boundary layer flow of nanofluid over a nonlinear stretching sheet with effect of non-uniform heat source and chemical reaction,” J. Nanofluids, vol. 6, no. 4, pp. 637–646, Aug. 2017. DOI: 10.1166/jon.2017.1362.
  • P. Rana and R. Bhargava, “Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study,” Commun. Nonlinear Sci. Number. Simul., vol. 17, no. 1, pp. 212–226, Jan. 2012. DOI: 10.1016/j.cnsns.2011.05.009.
  • K. Anantha Kumar, V. Sugunamma, and N. Sandeep, “Influence of variable viscosity on 3-D MHD radiative cross nanofluid flow over a biface region,” Waves Random Complex Media, pp. 1–16, Aug. 2022. DOI: 10.1080/17455030.2022.2104953.
  • K. Anantha Kumar, V. Sugunamma, and N. Sandeep, “Impact of non-linear radiation on MHD non-aligned stagnation point flow of micropolar fluid over a convective surface,” J. Non-Equilib. Thermodyn., vol. 43, no. 4, pp. 327–345, Aug. 2018. DOI: 10.1515/jnet-2018-0022.
  • K. Anantha Kumar, A. C. Venkata Ramudu, V. Sugunamma, and N. Sandeep, “Effect of non-linear thermal radiation on MHD Casson fluid flow past a stretching surface with chemical reaction,” Int. J. Ambient Energy, vol. 43, no. 1, pp. 8400–8407, Jul. 2022. DOI: 10.1080/01430750.2022.2097947.
  • K. Anantha Kumar, J. V. Ramana Reddy, V. Sugunamma, and N. Sandeep, “Magneto hydrodynamic Cattaneo-Christov flow past a cone and a wedge with variable heat source/sink,” Alex. Eng. J., vol. 57, no. 1, pp. 435–443, Mar. 2018. DOI: 10.1016/j.aej.2016.11.013.
  • M. M. Nandeppanavar, M. C. Kemparaju, and S. Shakunthala, “MHD stagnation point slip flow due to a non-linearly moving surface with effect of non-uniform heat source,” Nonlinear Eng., vol. 8, no. 1, pp. 270–282, Jul. 2019. DOI: 10.1515/nleng-2017-0109.
  • M. S. Abel, P. G. Siddheshwar, and M. M. Nandeppanavar, “Heat transfer in a viscoelastic boundary layer flow over a stretching sheet with viscous dissipation and non-uniform heat source,” Int. J. Heat Mass Transf., vol. 50, no. 56, pp. 960–966, Mar. 2007. DOI: 10.1016/j.ijheatmasstransfer.2006.08.010.

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