Unsteady Casson fluid flow on MHD with an internal heat source

References

• Chanson H. Unsteady flow in hydraulic structures. J Hydraul Res. 1999;37:715–733.
   Google Scholar
• Garcia M H, Parker G, Soar P J. Unsteady flow and sediment transport in rivers and estuaries. Annu Rev Fluid Mech. 2008;40:237–262.
   Google Scholar
• Ol MV, Buning PG. Unsteady aerodynamics of pitching and plunging airfoils. Prog Aerosp Sci. 2009;45:167–214.
   Google Scholar
• Gallardo-Bravo JM, Fernández Oro JM, Santos-Sanz FJ. Unsteady flow in turbomachinery and its numerical simulation. Prog Energy Combust Sci. 2002;28:107–132.
   Google Scholar
• Prospathopoulos J, Hansen KS. Unsteady aerodynamics of wind turbines. Renewable Energy. 2013;60:815–827.
   Google Scholar
• Duderstadt JJ, Hamilton LJ. Nuclear reactor analysis. John Wiley & Sons; 2018.
   Google Scholar
• Salem AM, Abd El-Aziz M. Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption. Appl Math Model. 2008;32:1236–1254.
   Web of Science ®Google Scholar
• Stefanescu DM. Science and engineering of casting solidification. Springer; 2012.
   Google Scholar
• Ciampi M, Tuoni G. Temperature distribution in turbulent flow between parallel plates with heat flux and internal heat source. Associazione Italiana di Meccanica Teorica ed Applicata. 1974;4:23–34.
   Google Scholar
• Sugavanam R, Ortega A, Choi CY. A numerical investigation of conjugate heat transfer from a flush heat source on a conductive board in laminar channel flow. Int J Heat Mass Transf. 1995;38:2969–2984.
   Web of Science ®Google Scholar
• Ellahi R, Alamri S Z, Basit A, et al. Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation. J Taibah Univ Sci. 2018;12:476–482.
   Web of Science ®Google Scholar
• Mousa M M, Ali M R, Ma W X. A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility. J Taibah Univ Sci. 2021;15:208–217.
   Web of Science ®Google Scholar
• Maqbool K, Manzoor N, Ellahi RS, et al. Influence of heat transfer on MHD carreau fluid flow due to motile cilia in a channel. J Therm Anal Calorim. 2021;144:2317–2326.
   Web of Science ®Google Scholar
• Selimefendigil F, Chamkha AJ. MHD mixed convection of Ag–MgO/water nanofluid in a triangular shape partitioned lid-driven square cavity involving a porous compound. J Therm Anal Calorim. 2021;143:1467–1484.
   Web of Science ®Google Scholar
• Ouri H, Selimefendigil F, Bouterra M, et al. MHD hybrid nanofluid convection and phase change process in an L-shaped vented cavity equipped with an inner rotating cylinder and PCM-packed bed system. Alex Eng J. 2023;63:563–582.
   Web of Science ®Google Scholar
• Selimefendigil F, Chouikhi H, Oztop HF. Natural convection and entropy generation of hybrid nanofluid in double annulus separated by a thin rotating partition under magnetic field. J Magn Magn Mater. 2023;582: 170974.
   Web of Science ®Google Scholar
• Branover H, Unger Y. Metallurgical technologies, energy conversion, and magnetohydrodynamic flows. American Institute of Aeronautics and Astronautics; 1993.
   Google Scholar
• Asai S, Asai S. Magnetohydrodynamics in materials processing. Springer; 2012.
   Google Scholar
• Guelman M, Smirnov N. Magnetohydrodynamic thruster for spacecraft. Prog Aerosp. Sci. 2016;83:60–72.
   Google Scholar
• Kumar S, Chamkha AJ, Rashad AM. Hall current effects on MHD flow in a channel with porous walls. Results Phys. 2021;21: 103781.
   Google Scholar
• Bojarevics V, Pericleous K, Galindo V. Modelling of MHD flow in a liquid metal battery. J Energy Storage. 2020;30: 101499.
   Google Scholar
• Akgül A. Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid. J Taibah Univ Sci. 2019;13:858–863.
   Web of Science ®Google Scholar
• Hayat T, Asad S, Alsaedi A. Flow of casson fluid with nanoparticles. Appl Math Mech. 2016;37:459–470.
   Google Scholar
• Idowu AS, Akolade MT, Abubakar JU, et al. MHD free convective heat and mass transfer flow of dissipative casson fluid with variable viscosity and thermal conductivity effects. J Taibah Univ Sci. 2020;14:851–862.
   Web of Science ®Google Scholar
• Frigaard IA, Poole RJ. Comment on “Bejan's flow visualization of buoyancy-driven flow of a hydromagnetic casson fluid from an isothermal wavy surface. Phys Fluids. 2021;33: 093113.
   Web of Science ®Google Scholar
• Kumar M, Mondal P K. Bejan's flow visualization of buoyancy-driven flow of a hydromagnetic casson fluid from an isothermal wavy surface. Phys Fluids. 2021;33:1–33.
   Web of Science ®Google Scholar
• Mousavi SM, Rostami MN, Yousefi M, et al. Dual solutions for casson hybrid nanofluid flow due to a stretching/shrinking sheet: A new combination of theoretical and experimental models. Chin J Phys. 2021;71:574–588.
   Web of Science ®Google Scholar
• Kumar A, Tripathi R, Singh R, et al. Entropy generation on double-diffusive MHD casson nanofluid flow with convective heat transfer and activation energy. Indian J Phys. 2021;95:1423–1436.
   Web of Science ®Google Scholar
• Hussain M, Farooq U, Sheremet M. Nonsimilar convective thermal transport analysis of EMHD stagnation casson nanofluid flow subjected to particle shape factor and thermal radiations. Int. Commun Heat Mass Transf. 2022;137: 106230.
   Web of Science ®Google Scholar
• Algehyne EA, Aldhabani MS, Saeed A, et al. Mixed convective flow of Casson and Oldroyd-B fluids through a stratified stretching sheet with nonlinear thermal radiation and chemical reaction. J Taibah Univ Sci. 2022;16:193–203.
   Web of Science ®Google Scholar
• Dogan H, Kokini JL. Rheological properties of foods. In Handbook of food engineering. CRC Press. 2006. pp. 13–136.
   Google Scholar
• O’Brien Jr WD. Ultrasound-biophysics mechanisms. Prog Biophys Mol Biol. 2007;93(1-3):212–255.
   PubMed Web of Science ®Google Scholar
• Chamkha AJ, Abbas Z, Rashad AM. Effects of magnetic field on Casson fluid flow in a channel with porous walls. Alex Eng J. 2019;58(1):1–10.
   Google Scholar
• Li H, Zhang J. Numerical simulation of Casson fluid flow in a microchannel with slip conditions. Int J Heat Mass Transf. 2019;141:1040–1050.
   Google Scholar
• Kumar R, Chamkha AJ, Rashad AM. Natural convection flow in a square cavity with internal heat generation: effects of Hartmann number and internal heat source location. J Mol Liquids. 2019;276:234–241.
   Google Scholar
• Rashidi MM, Aminossadati SM, Ghalambaz M. Unsteady Casson flow with MHD and internal heat source in a porous medium. J Therm Analy Calor. 2020;142(5):2197–2207.
   Google Scholar
• Srinivasacharya D, Gireesha BJ. Unsteady MHD casson fluid flow with heat source and thermal radiation. J Appl Fluid Mech. 2019;12(6):2127–2140.
   Google Scholar
• ObaidatS AE, Al-Safi KA. Unsteady MHD free convective flow of Casson fluid with internal heat source and chemical reaction. J Braz Soc Mech Sci Eng. 2019;41(6):261.
   Google Scholar
• Muthuraj R, Kandasamy R. Chemical reaction effects on unsteady MHD Casson fluid flow with heat source and thermal radiation through porous media. J Appl Comput Mech. 2019;5(6):1000–1014.
   Google Scholar
• Beylkin G, Coifman R, Rokhlin V. Fast wavelet transforms and numerical algorithms I. Communications on Pure and Applied Mathematics. 1991;44(2):141–183.
   Web of Science ®Google Scholar
• Chui CK. Wavelets a mathematical tool for signal analysis. Society for Industrial and Applied Mathematics. 1997.
   Google Scholar
• Shamsi M, Razzaghi M. Solution of Hallen's integral equation using multi wavelets. Comput Phys Commun. 2005;168(3):187–197.
   Web of Science ®Google Scholar
• Lakestani M, Razzaghi M, Dehghan M. Semiorthogonal spline wavelets approximation for fredholm integro-differential equations. Math Probl Eng. 2006: 1–12. doi:10.1155/MPE/2006/96184.
   Web of Science ®Google Scholar
• Shiralashetti SC, Kumbinarasaiah S. Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane–Emden type equations. Appl Math Comput. 2017;315:591–602.
   Web of Science ®Google Scholar
• Shiralashetti SC, Kumbinarasaiah S. Hermite wavelets operational matrix of integration for the numerical solution of nonlinear singular initial value problems. Alex Eng J. 2018;57(4):2591–2600.
   Web of Science ®Google Scholar
• Shiralashetti SC, Kumbinarasaiah S. Cardinal b-spline wavelet based numerical method for the solution of generalized Burgers–Huxley equation. Int J Appl Comput Math. 2018;4(2):1–13.
   Google Scholar
• Shiralashetti SC, Kumbinarasaiah S. Laguerre wavelets collocation method for the numerical solution of the Benjamina–Bona–Mohany equations. J Taibah Univ Sci. 2019;13(1):9–15.
   Web of Science ®Google Scholar
• Shiralashetti SC, Kumbinarasaiah S. New generalized operational matrix of integration to solve nonlinear singular boundary value problems using hermite wavelets. Arab J Basic Appl Sci. 2019;26(1):385–396.
   Google Scholar
• Rahimkhani P, Ordokhani Y. Babolian EA. new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations. Numer Algorithms. 2017;74(1):223–245.
   Web of Science ®Google Scholar
• AroraR CN. Bernoulli wavelet operational matrix of integration and its application in solving differential equations. J Emerg Technol Innov Res. 2018;5:414–424.
   Google Scholar
• Kumbinarasaiah S, Raghunatha KR. The applications of Hermite wavelet method to nonlinear differential equations arising in heat transfer. International Journal of Thermofluids. 2021;9: 100066.
   Google Scholar
• Kumbinarasaiah S, Raghunatha KR. Numerical solution of the jeffery–hamel flow through the wavelet technique. Heat Transf. 2022;51(2):1568–1584.
   Google Scholar
• Raghunatha KR, Kumbinarasaiah S. Application of hermite wavelet method and differential transformation method for nonlinear temperature distribution in a rectangular moving porous Fin. Int J Appl Comput Math. 2022;8(1):1–20.
   Google Scholar
• Vinod Y, Raghunatha KR. Application of hermite wavelet method for heat transfer in a porous media. Heat Transf. 2023;52:983-999.
   Google Scholar
• Kumbinarasaiah S, Raghunatha KR, Preetham MP. Applications of Bernoulli wavelet collocation method in the analysis of jeffery–hamel flow and heat transfer in eyring–powell fluid. J Therm Anal Calorim. 2023;148(3):1173–1189.
   Web of Science ®Google Scholar
• Raghunatha KR, Vinod Y, Manjunatha BV. Application of Bernoulli wavelet method on triple-diffusive convection in jeffery–hamel flow. Heat Transf. 2023;1–33. doi:10.1002/htj.22928.
   PubMedGoogle Scholar
• Raghunatha KR, Vinod Y. Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques. Heat Transf. 2023;1–32. doi:10.1002/htj.22911
   Google Scholar
• Mustafa M, Hayat T, Obaidat S. On heat and mass transfer in the unsteady squeezing flow between parallel plates. Meccanica. 2012;47(7):1581–1589.
   Web of Science ®Google Scholar
• Noor NAM, Shafie S, Admon MA. Effects of viscous dissipation and chemical reaction on MHD squeezing flow of casson nanofluid between parallel plates in a porous medium with slip boundary condition. Eur Phys J Plus. 2020;135(10):855.
   Web of Science ®Google Scholar