Effects of viscous dissipation, gravity modulation and Joule heating on MHD Casson fluid flow over a vertically moving plate with second-order slip velocity

References

• Akbar, N., S. M. Hussain, and R. U. Khan. 2022. “Numerical Solution of Casson Fluid Flow Under Viscous Dissipation and Radiation Phenomenon.” Journal of Applied Mathematics and Physics 10 (2): 475–490. https://doi.org/10.4236/jamp.2022.102036.
   Google Scholar
• Al-Kouz, W., and W. Owhaib. 2022. “Numerical Analysis of Casson Nanofluid Three-Dimensional Flow Over a Rotating Frame Exposed to a Prescribed Heat Flux with Viscous Heating.” Scientific Reports 12 (1): 1–17. https://doi.org/10.1038/s41598-022-08211-2.
   PubMed Web of Science ®Google Scholar
• Ali, B., A. Shafiq, I. Siddique, Q. Al-Mdallal, and F. Jarad. 2021. “Significance of Suction/ Injection, Gravity Modulation, Thermal Radiation, and Magnetohydrodynamic on Dynamics of Micropolar Fluid Subject to an Inclined Sheet Via Finite Element Approach.” Case Studies in Thermal Engineering 28:101537. https://doi.org/10.1016/j.csite.2021.101537.
   Web of Science ®Google Scholar
• Amar, N., and N. Kishan. 2021. “Viscous Dissipation and Heat Transfer Effect on MHD Boundary Layer Flow Past a Wedge of Nano Fluid Embedded in a Porous Media.” Turkish Journal of Computer and Mathematics Education 12 (4): 1352–1366.
   Google Scholar
• Animasaun, I. L., E. A. Adebile, and A. I. Fagbade. 2016. “Casson Fluid Flow with Variable Thermos-Physical Property Along Exponentially Stretching Sheet with Suction and Exponentially Decaying Internal Heat Generation Using the Homotopy Analysis Method.” Journal of the Nigerian Mathematical Society 35 (1): 1–17. https://doi.org/10.1016/j.jnnms.2015.02.001.
   Google Scholar
• Anwar, T., P. Kumam, and W. Watthayu. 2021. “Unsteady MHD Natural Convection Flow of Casson Fluid Incorporating Thermal Radiative Flux and Heat Injection/Suction Mechanism Under Variable Wall Conditions.” Scientific Reports 11 (1): 1–15. https://doi.org/10.1038/s41598-021-83691-2.
   PubMed Web of Science ®Google Scholar
• Arthur, E. M., I. Y. Seini, and L. B. Bortteir. 2015. “Analysis of Casson Fluid Flow Over a Vertical Porous Surface with Chemical Reaction in the Presence of Magnetic Field.” Journal of Applied Mathematics and Physics 03 (6): 713–723. https://doi.org/10.4236/jamp.2015.36085.
   Google Scholar
• Asfour, H. A. 2020. “The Effects of Joule Heating and Variable Thermal Conductivity on Peristaltic Pumping Jeffrey Nanofluid in the Presence of Heat Transfer.” Heat Transfer 49 (3): 1237–1255. https://doi.org/10.1002/htj.21660.
   Google Scholar
• Asogwa, K. K., B. S. Goud, N. A. Shah, and S. Yook. 2022. “Rheology of Electromagnetohydrodynamic Tangent Hyperbolic Nanofluid Over a Stretchin Riga Surface Featuring Dufour Effect and Activation Energy.” Scientific Reports 12:14602. https://doi.org/10.1038/s41598-022-18998-9.
   PubMed Web of Science ®Google Scholar
• Bhadauria, B. S., and P. Kiran. 2015. “Weak Nonlinear Double Diffusive Magneto-Convection in a Newtonian Liquid Under Gravity Modulation.” Journal of Applied Fluid Mechanics 8 (4): 735–746. https://doi.org/10.18869/acadpub.jafm.67.223.22740.
   Web of Science ®Google Scholar
• Das, U. J. 2017. “Free Convection Heat and Mass Transfer Flow for Magnetohydrodynamic Chemically Reacting and Radiating Elastico-Viscous Fluid Past a Vertical Permeable Plate with Gravity Modulation.” International Journal of Applied Computational Mathematics 3:2021–2037.
   Google Scholar
• Fatima, N., A. Majeed, K. S. Nisar, S. Naeem, M. K. Alaoui, N. Saleem, and N. Ijaz. 2023. “Three-dimensional Analysis of Motile-Microorganism and Heat Transportation of Viscoelastic Nanofluid with nth Order Chemical Reaction Subject to Variable Thermal Conductivity.” Case Studies in Thermal Engineering 45:102896. https://doi.org/10.1016/j.csite.2023.102896.
   Web of Science ®Google Scholar
• Goud, B. S. 2020. “Heat Generation/Absorption Influence on Steady Stretched Permeable Surface on MHD Flow of a Micropolar Fluid Through a Porous Medium in the Presence of Variable Suction/ Injection.” International Journal of Thermofluids 7-8:100044. https://doi.org/10.1016/j.ijft.2020.100044.
   Google Scholar
• Goud, B. S., Z. H. Khan, and M. Hamid. 2021. “Heat Generation/Absorption on MHD Flow of a Micropolar Fluid Over a Heated Stretching Surface in the Presence of the Boundary Parameter.” Heat Transfer 50 (6): 6129–6147. https://doi.org/10.1002/htj.22165.
   Google Scholar
• Goud, B. S., P. P. Kumar, and B. S. Malga. 2020. “Effects of Heat Source on an Unsteady MHD Free Convection Flow of Casson Fluid Past a Vertical Oscillating Plate in Porous Medium Using Finite Element Analysis.” Partial Differential Equations in Applied Mathematics 2:100015. https://doi.org/10.1016/j.padiff.2020.100015.
   Google Scholar
• Goud, B. S., J. V. Madhu, and M. R. Shekar. 2019. “MHD Viscous Dissipative Fluid Flows in a Channel with a Stretching and Porous Plate with Radiation Effect.” International Journal of Innovative Technology and Exploring Engineering 8 (11): 1877–1882. https://doi.org/10.35940/ijitee.K2086.0981119.
   Google Scholar
• Goud, B. S., and M. M. Nandeppanavar. 2021. “Ohmic Heating and Chemical Reaction Effect on MHD Flow of Micropolar Fluid Past a Stretching Surface.” Partial Differential Equations in Applied Mathematics 4:100104. https://doi.org/10.1016/j.padiff.2021.100104.
   Google Scholar
• Goud, B. S., and M. M. Nandeppanavar. 2023. “Effect of Thermal Radiation on Magnetohydrodynamics Heat Transfer Micropolar Fluid Flow Over a Vertical Moving Porous Plate.” Experimental and Computational Multiphase Flow 5 (2): 149–158. https://doi.org/10.1007/s42757-021-0131-5.
   Google Scholar
• Goud, B. S., and Y. D. Reddy. 2021. “Finite Element Soret Dufour Effects on an Unsteady MHD Heat and Mass Transfer Flow Past an Accelerated Inclined Vertical Plate.” Heat Transfer 50 (8): 8553–8578. https://doi.org/10.1002/htj.22290.
   Google Scholar
• Goud, B. S., Y. D. Reddy, W. Jamshed, M. R. Eid, R. Safdar, K. S. Nisar, S. S. P. M. Isa, M. M. Alam, and S. Parvin. 2022a. “2D Mixed Convection Non-Darcy Model with Radiation Effect in a Nanofluid Over an Inclined Wavy Surface.” Alexandria Engineering Journal 61 (12): 9965–9976. https://doi.org/10.1016/j.aej.2022.03.030.
   Web of Science ®Google Scholar
• Goud, B. S., Y. D. Reddy, W. Jamshed, K. S. Nisar, A. N. Alharbi, and R. Chouikh. 2022b. “Radiation Effect on MHD Casson Fluid Flow Over an Inclined Non-linear Surface with Chemical Reaction in a Forchheimer Porous Medium.” Alexandria Engineering Journal 61 (10): 8207–8220. https://doi.org/10.1016/j.aej.2022.01.043.
   Web of Science ®Google Scholar
• Goud, B. S., Y. D. Reddy, K. S. Kumar, and E. R. Kumar. 2021. “Numerical Solution of Natural Convection on a Vertical Stretching Surface with Suction and Blowing.” International Journal of Heat and Technology 39 (5): 1469–1474. https://doi.org/10.18280/ijht.390508.
   Web of Science ®Google Scholar
• Goud, B. S., Y. D. Reddy, and S. Mishra. 2022. “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 (3-4): 23977914221100961.
   Web of Science ®Google Scholar
• Goud, B. S., Y. D. Reddy, and V. S. Rao. 2020. “Thermal Radiation and Joule Heating Effects on a Magnetohydrodynamic Casson Nanofluid Flow in the Presence of Chemical Reaction Through a non-Linear Inclined Porous Stretching Sheet.” Journal of Naval Architecture and Marine Engineering 17 (2): 143–164. https://doi.org/10.3329/jname.v17i2.49978.
   Web of Science ®Google Scholar
• Hussain, S. M., B. S. Goud, P. Madheshwaran, W. Jamshed, A. A. Pasha, R. Safdar, M. Arshad, R. W. Ibrahim, and M. K. Ahmed. 2022. “Effectiveness of Nonuniform Heat Generation (Sink) and Thermal Characterization of a Carreau Fluid Flowing Across a Nonlinear Elongating Cylinder: A Numerical Study.” ACS Omega 7 (29): 25309–25320. https://doi.org/10.1021/acsomega.2c02207.
   PubMed Web of Science ®Google Scholar
• Jaber, K. K. 2016. “Joule Heating and Viscous Dissipation on Effects on MHD Flow Over a Stretching Porous Sheet Subjected to Power law Heat Flux in Presence of Heat Source.” Open Journal of Fluid Dynamics 06 (3): 156–165. https://doi.org/10.4236/ojfd.2016.63013.
   Google Scholar
• Jain, S. R., and S. C. Rajvanshi. 2011. “Influence of Gravity Modulation, Viscous Heating and Concentration on Flow Past a Vertical Plate in Slip Flow Regime with Periodic Temperature Variations.” International Journal of Theoretical and Applied Science 3 (1): 16–22.
   Google Scholar
• Jha, B. K., and B. Aina. 2018. “Impact of Viscous Dissipation on Fully Developed Natural Convection Flow in a Vertical Microchannel.” Journal of Heat Transfer 140 (9): 094502.
   Web of Science ®Google Scholar
• Kodi, R., O. Mopuri, S. Sree, and V. Konduru. 2021. “Investigation of MHD Casson Fluid Flow Past a Vertical Porous Plate Under the Influence of Thermal Diffusion and Chemical Reaction.” Heat Transfer 51 (1): 377–394. https://doi.org/10.1002/htj.22311.
   Google Scholar
• Kumar, P. P., B. S. Goud, and B. S. Malga. 2020. “Finite Element Study of Soret Number Effects on MHD Flow of Jeffrey Fluid Through a Vertical Permeable Moving Plate.” Partial Differential Equations in Applied Mathematics 1:100005. https://doi.org/10.1016/j.padiff.2020.100005.
   Google Scholar
• Li, Y., A. Majeed, N. Ijaz, K. Barghout, M. R. Ali, and T. Muhammad. 2023. “Melting Thermal Transportation in Bioconvection Casson Nanofluid Flow Over a Nonlinear Surface with Motile Microorganism: Application in Bioprocessing Thermal Engineering.” Case Studies in Thermal Engineering 49:103285. https://doi.org/10.1016/j.csite.2023.103285.
   Web of Science ®Google Scholar
• Majeed, A., N. Golsanami, B. Gong, Q. A. Ahmed, S. Rifaqat, A. Zeeshan, and F. M. Noori. 2023. “Analysis of Thermal Radiation in Magneto-Hydrodynamic Motile Gyrotactic Micro-Organisms Flow Comprising Tiny Nanoparticle Towards a Nonlinear Surface with Velocity Slip.” Alexandria Engineering Journal 66:543–553. https://doi.org/10.1016/j.aej.2022.11.012.
   Web of Science ®Google Scholar
• Majeed, A., S. Naeem, A. Zeeshan, A. Qayyum, and M. S. Alhodaly. 2023. “Three-dimensional bio-Convection Mechanism and Heat Transportation of Nanofluid Induced by Magnetic Field.” International Journal of Modern Physics B, 2450258. https://doi.org/10.1142/S0217979224502588.
   Web of Science ®Google Scholar
• Majeed, A., S. Rifaqat, A. Zeeshan, M. S. Alhodaly, and F. M. Noori. 2023. “Impact of Velocity Slip and Radiative Magnetized Casson Nanofluid with Chemical Reaction Towards a Nonlinear Stretching Sheet: Three-Stage Lobatto Collocation Scheme.” International Journal of Modern Physics B 37 (9): 2350088. https://doi.org/10.1142/S0217979223500881.
   Google Scholar
• Majeed, A., A. Zeeshan, and M. Jawad. 2023. “Double Stratification Impact on Radiative MHD Flow of Nanofluid Towards a Stretchable Cylinder Under Thermophoresis and Brownian Motion with Multiple Slip.” International Journal of Modern Physics B 37 (24): 2350232. https://doi.org/10.1142/S0217979223502326.
   Google Scholar
• Majeed, A., A. Zeeshan, A. Shaheen, M. S. Alhodaly, and F. M. Noori. 2022. “Hall Current and Viscous Dissipation Impact on MHD Mixed Convection Flow Towards a Porous Exponentially Surface with its Engineering Applications.” Journal of Magnetism 27 (2): 223–231.
   Web of Science ®Google Scholar
• Majeed, A., M. Zubair, A. Khan, T. Muhammad, and M. S. Alqarni. 2021. “Significance of Thermophoretic and Brownian Motion on MHD Nanofluids Flow Towards a Circular Cylinder Under the Inspiration of Multiple Slips: An Industrial Application.” Mathematical Problems in Engineering 2021:8634185.
   Web of Science ®Google Scholar
• Malashetty, M. S., and M. S. Swamy. 2011. “Effect of Gravity Modulation on the Onset of Thermal Convection in Rotating Fluid and Porous Layer.” Physics of Fluids 23 (6): 064108. https://doi.org/10.1063/1.3593468.
   Web of Science ®Google Scholar
• Mukhopadhyay, S. 2013. “Casson Fluid Flow and Heat Transfer Over a Nonlinearly Stretching Surface.” Chinese Physics B 22 (7): 074701. https://doi.org/10.1088/1674-1056/22/7/074701.
   Web of Science ®Google Scholar
• Oni, M. O., and B. K. Jha. 2021. “Joule Heating and Viscous Dissipation Effect on Electroosmotic Mixed Convection Flow in a Vertical Microchannel Subjected to Asymmetric Heat Flux.” Propulsion and Power Research 10 (1): 83–94. https://doi.org/10.1016/j.jppr.2021.01.001.
   Web of Science ®Google Scholar
• Pramanik, S. 2014. “Casson Fluid Flow and Heat Transfer Past an Exponentially Porous Stretching Surface in Presence of Thermal Radiation.” Ain Shams Engineering Journal 5 (1): 205–212. https://doi.org/10.1016/j.asej.2013.05.003.
   Google Scholar
• Rasheed, H. U., A. AL-Zubaidi, S. Saleem, Z. Khan, and W. Khan. 2021. “Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Boundary Layer Flow of Jeffrey Nanofluid Over a Vertically Stretching Cylinder.” Coatings 11 (3): 353. https://doi.org/10.3390/coatings11030353.
   Web of Science ®Google Scholar
• Reddy, Y. D., B. S. Goud, K. S. Nisar, B. Alshahrani, M. Mahmoud, and C. Park. 2023. “Heat Absorption/ Generation Effect on MHD Heat Transfer Fluid Flow Along a Stretching Cylinder with a Porous Medium.” Alexandria Engineering Journal 64:659–666. https://doi.org/10.1016/j.aej.2022.08.049.
   Web of Science ®Google Scholar
• Reddy, Y. D., A. K. Mella, S. R. Vempati, and B. S. Goud. 2021. “Influence of Slip Condition on Transient Laminar Flow Over an Infinite Vertical Plate with Ramped Temperature in the Presence of Chemical Reaction and Thermal Radiation.” Heat Transfer 50 (8): 7654–7671. https://doi.org/10.1002/htj.22247.
   Google Scholar
• Reddy, M. G., P. Padma, and B. Shankar. 2015. “Effect of Viscous Dissipation and Heat Source on Unsteady MHD Flow Over a Stretching Sheet.” Ain Shams Engineering Journal 6 (4): 1195–1201. https://doi.org/10.1016/j.asej.2015.04.006.
   Google Scholar
• Shah, N. A., H. Alrabaiah, D. Vieru, and S. Yook. 2022. “Induced Magnetic Field and Viscous Dissipation on Flows of two Immiscible Fluids in Rectangular Channel.” Scientific Reports 12 (1): 1–14.
   PubMed Web of Science ®Google Scholar
• Srinivasulu, T., and B. S. Goud. 2021. “Effect of Inclined Magnetic Field on Flow, Heat and Mass Transfer of Williamson Nanofluid Over a Stretching Sheet.” Case Studies in Thermal Engineering 23:100819. https://doi.org/10.1016/j.csite.2020.100819.
   Web of Science ®Google Scholar
• Swain, B. K., B. C. Parida, S. Kar, and N. Senapati. 2020. “Viscous Dissipation and Joule Heating Effect on MHD Flow and Heat Transfer Past a Stretching Sheet Embedded in a Porous Medium.” Heliyon 6 (10): e05338. https://doi.org/10.1016/j.heliyon.2020.e05338.
   PubMed Web of Science ®Google Scholar
• Tarannum, S., and S. Pranesh. 2016. “Effect of Gravity Modulation on the Onset of Reyleigh-Benard Convection in a Weak Electrically Conducting Couple Stress Fluid with Saturated Porous Layer.” International Journal of Engineering Research &Technology 5 (1): 914–928.
   Google Scholar
• Zeeshan, A., A. Majeed, R. Ellahi, and Q. M. Z. Zia. 2018. “Mixed Convection Flow and Heat Transfer in Ferromagnetic Fluid Over a Stretching Sheet with Partial Slip Effects.” Thermal Science 22 (6 Part A): 2515–2526. https://doi.org/10.2298/TSCI160610268Z.
   Web of Science ®Google Scholar
• Zeeshan, A., A. Majeed, C. Fetecau, and S. Muhammad. 2017. “Effects on Heat Transfer of Multiphase Magnetic Fluid due to Circular Magnetic Field Over a Stretching Surface with Heat Source/Sink and Thermal Radiation.” Results in Physics 7:3353–3360. https://doi.org/10.1016/j.rinp.2017.08.047.
   Web of Science ®Google Scholar