An analytical study of magnetohydrodynamic Casson fluid flow in a channel with induced magnetic field, radiative heat flux and viscous dissipation

References

• Abdullahi, Faruk, Ibrahim Haliru Wala, and Muhammad Abdurrahman Sani. 2020. “Casson Fluid Flow Effects on MHD Unsteady Heat and Mass Transfer Free Convective Past an Infinite Vertical Plate.” International Journal of Scientific and Research Publications (IJSRP) 10 (11): 104–118. doi:10.29322/ijsrp.10.11.2020.p10712.
   Google Scholar
• Anantha Kumar, K., A. C. Venkata Ramudu, V. Sugunamma, and N. Sandeep. 2022. “Effect of Non-Linear Thermal Radiation on MHD Casson Fluid Flow Past a Stretching Surface with Chemical Reaction.” International Journal of Ambient Energy 43 (1): 8400–8407. doi:10.1080/01430750.2022.2097947.
   Google Scholar
• Arora, K. L. 1972. “Magnetohydrodynamic Flow Between Two Rotating Coaxial Cylinders Under Radial Magnetic Field.” The Physics of Fluids 15 (6): 1146. doi:10.1063/1.1694041.
   Web of Science ®Google Scholar
• Arthur, Emmanuel Maurice, Ibrahim Yakubu Seini, and Letis Bortey 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 (06): 713–723. doi:10.4236/jamp.2015.36085.
   Google Scholar
• Asogwa, K. K., and A. A. Ibe. 2020. ““A Study of MHD Casson Fluid Flow Over a Permeable Stretching Sheet with Heat and Mass Transfer.” Journal of Engineering Research and Reports, 10–25. doi:10.9734/jerr/2020/v16i217161.
   Google Scholar
• Basu, T., and D. N. Roy. 1985. “Laminar Heat Transfer in a Tube with Viscous Dissipation.” International Journal of Heat and Mass Transfer 28 (3): 699–701. doi:10.1016/0017-9310(85)90191-7.
   Web of Science ®Google Scholar
• Brinkman, H. C. 1951. “Heat Effects in Capillary Flow I.” Applied Scientific Research 2 (1): 120–124. doi:10.1007/bf00411976.
   Google Scholar
• Casson, N. 1959. A Flow Equation for Pigment-Oil Suspensions of the Printing Ink Type. Reprinted from “Rheology of Disperse Systems”. Oxford: Pergamon Press.
   Google Scholar
• Cramer, Kenneth R. 1973. “New from Mcgraw-Hill Magnetofluid Dynamics for Engineers and Applied Physicists.” Electrical Engineering in Japan 93 (1): 142–142. doi:10.1002/eej.4390930120.
   Google Scholar
• Daniel, Yahaya Shagaiya, Zainal Abdul Aziz, Zuhaila Ismail, and Faisal Salah. 2018. “Impact of Thermal Radiation on Electrical MHD Flow of Nanofluid Over Nonlinear Stretching Sheet with Variable Thickness.” Alexandria Engineering Journal 57 (3): 2187–2197. doi:10.1016/j.aej.2017.07.007.
   Web of Science ®Google Scholar
• Das, Utpal Jyoti. 2021. “An Unsteady MHD Flow of Casson Fluid Past an Exponentially Accelerated Vertical Plate.” Latin American Applied Research - An International Journal 51 (4): 309–314. doi:10.52292/j.laar.2021.588.
   Google Scholar
• Elbashbeshy, Elsayed, and T. G. Emam. 2011. “Effects of Thermal Radiation and Heat Transfer Over an Unsteady Stretching Surface Embedded in a Porous Medium in the Presence of Heat Source or Sink.” Thermal Science 15 (2): 477–485. doi:10.2298/tsci1102477e.
   Web of Science ®Google Scholar
• Globe, Samuel. 1959. “Laminar Steady-State Magnetohydrodynamic Flow in an Annular Channel.” Physics of Fluids 2 (4): 404. doi:10.1063/1.1724410.
   Web of Science ®Google Scholar
• Gokulavani, P., M. Muthtamilselvan, and Qasem Al-Mdallal. 2022. ““Double Diffusive Convection of CuO+MWCNT Hybrid Nanofluid in an Inclined Open Cavity with Internal Heat Generation/Absorption.” International Journal of Ambient Energy, 1–11. doi:10.1080/01430750.2022.2128417.
   Google Scholar
• Gregory, Thomas Stanley, Rui Cheng, Guoyi Tang, Leidong Mao, and Zion Tsz Ho Tse. 2016. “The Magnetohydrodynamic Effect and Its Associated Material Designs for Biomedical Applications: A State-of-the-art Review.” Advanced Functional Materials 26 (22): 3942–3952. doi:10.1002/adfm.201504198.
   PubMed Web of Science ®Google Scholar
• Guria, M., B. K. Das, R. N. Jana, and S. K. Ghosh. 2007. “Effects of Wall Conductance on MHD Fully Developed Flow with Asymmetric Heating of the Wall.” Fluid Mechanics Research 34 (6): 521–534. doi:10.1615/interjfluidmechres.v34.i6.40.
   Google Scholar
• Hamza, M. M., I. G. Usman, and A. Sule. 2015. “Unsteady/Steady Hydromagnetic Convective Flow Between Two Vertical Walls in the Presence of Variable Thermal Conductivity.” Journal of Fluids 2015: 1–9. doi:10.1155/2015/358053.
   Google Scholar
• Hari Krishna, Y., Gurrampati Venkata Ramana Reddy, and Oluwole Daniel Makinde. 2018. “Chemical Reaction Effect on MHD Flow of Casson Fluid with Porous Stretching Sheet.” Defect and Diffusion Forum 389: 100–109. doi:10.4028/www.scientific.net/ddf.389.100.
   Google Scholar
• Hassan, Ali, Azad Hussain, Mubashar Arshad, Soumaya Gouadria, Jan Awrejcewicz, Ahmed M. Galal, Fahad M. Alharbi, and S. Eswaramoorthi. 2022. “Insight Into the Significance of Viscous Dissipation and Heat Generation/Absorption in Magneto-Hydrodynamic Radiative Casson Fluid Flow with First-Order Chemical Reaction.” Frontiers in Physics 10 (August), doi:10.3389/fphy.2022.920372.
   Google Scholar
• Hussain, Shafqat, Noura Alsedias, and Abdelraheem M. Aly. 2022. “Natural Convection of a Water-Based Suspension Containing Nano-Encapsulated Phase Change Material in a Porous Grooved Cavity.” Journal of Energy Storage 51 (July): 104589. doi:10.1016/j.est.2022.104589.
   Google Scholar
• Hussain, Shafqat, Abdelraheem M. Aly, and Noura Alsedias. 2022. “Bioconvection of Oxytactic Microorganisms with Nano-Encapsulated Phase Change Materials in an Omega-Shaped Porous Enclosure.” Journal of Energy Storage 56 (December): 105872. doi:10.1016/j.est.2022.105872.
   Google Scholar
• Hussain, Shafqat, Abdelraheem M. Aly, and Hakan F. Öztop. 2022. “Magneto-Bioconvection Flow of Hybrid Nanofluid in the Presence of Oxytactic Bacteria in a Lid-Driven Cavity with a Streamlined Obstacle.” International Communications in Heat and Mass Transfer 134 (May): 106029. doi:10.1016/j.icheatmasstransfer.2022.106029.
   Google Scholar
• Hussain, Shafqat, Muhammad Jamal, Zoubida Haddad, and Müslüm Arıcı. 2022. “Numerical Modeling of Magnetohydrodynamic Thermosolutal Free Convection of Power Law Fluids in a Staggered Porous Enclosure.” Sustainable Energy Technologies and Assessments 53 (October): 102395. doi:10.1016/j.seta.2022.102395.
   Google Scholar
• Hussain, Shafqat, Zehba Raizah, and Abdelraheem M. Aly. 2022. “Thermal Radiation Impact on Bioconvection Flow of Nano-Enhanced Phase Change Materials and Oxytactic Microorganisms Inside a Vertical Wavy Porous Cavity.” International Communications in Heat and Mass Transfer 139 (December): 106454. doi:10.1016/j.icheatmasstransfer.2022.106454.
   Google Scholar
• Hussain, Shafqat, Muhammad Zeeshan, and Dur-e-Shehwar Sagheer. 2022. “Irreversibility Analysis for the Natural Convection of Casson Fluid in an Inclined Porous Cavity Under the Effects of Magnetic Field and Viscous Dissipation.” International Journal of Thermal Sciences 179 (September): 107699. doi:10.1016/j.ijthermalsci.2022.107699.
   Google Scholar
• Jha, B. K., and B. Aina. 2017. “Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel.” International Journal of Applied Mechanics and Engineering 22 (3): 567–582. doi:10.1515/ijame-2017-0036.
   Google Scholar
• Jha, Basant K., and Babatunde Aina. 2018. “Impact of Viscous Dissipation on Fully Developed Natural Convection Flow in a Vertical Microchannel.” Journal of Heat Transfer 140 (9): 094502. doi:10.1115/1.4039641.
   Web of Science ®Google Scholar
• Jha, Basant K., and Clement A. Apere. 2011. “Magnetohydrodynamic Free Convective Couette Flow With Suction and Injection.” Journal of Heat Transfer 133 (9), doi:10.1115/1.4003902.
   PubMed Web of Science ®Google Scholar
• Jha, B. K., and Sani Isa. 2013. “Computational Treatment of MHD Transient Natural Convection Flow in a Vertical Channel Due to Symmetric Heating in Presence of Induced Magnetic Field.” Journal of the Physical Society of Japan 82 (8): 084401. doi:10.7566/jpsj.82.084401.
   Web of Science ®Google Scholar
• Kho, Y. B., A. Hussanan, M. K. A. Mohamed, N. M. Sarif, Z. Ismail, and M. Z. Salleh. 2017. “Thermal Radiation Effect on MHD Flow and Heat Transfer Analysis of Williamson Nanofluid Past Over a Stretching Sheet with Constant Wall Temperature.” Journal of Physics. Conference Series 890: 012034. doi:10.1088/1742-6596/890/1/012034.
   Google Scholar
• Krishna, M. Veera, Kamboji Jyothi, and Ali J. Chamkha. 2020. “Heat and Mass Transfer on Mhd Flow of Second-Grade Fluid Through Porous Medium Over a Semi-Infinite Vertical Stretching Sheet.” Journal of Porous Media 23 (8): 751–765. doi:10.1615/jpormedia.2020023817.
   Web of Science ®Google Scholar
• Kumar, Dileep. 2021. “Radiation Effect on Magnetohydrodynamic Flow with Induced Magnetic Field and Newtonian Heating/Cooling: An Analytic Approach.” Propulsion and Power Research 10 (3): 303–313. doi:10.1016/j.jppr.2021.07.001.
   Web of Science ®Google Scholar
• Kumar, M. Anil, Y. Dharmendar Reddy, V. Srinivasa Rao, and B. Shankar Goud. 2021. “Thermal Radiation Impact on MHD Heat Transfer Natural Convective Nano Fluid Flow Over an Impulsively Started Vertical Plate.” Case Studies in Thermal Engineering 24 (100826): 100826. doi:10.1016/j.csite.2020.100826.
   Google Scholar
• Kumar, Dileep, A. K. Singh, and Devendra Kumar. 2020. “Influence of Heat Source/Sink on MHD Flow Between Vertical Alternate Conducting Walls with Hall Effect.” Physica A: Statistical Mechanics and its Applications 544 (123562): 123562. doi:10.1016/j.physa.2019.123562.
   Google Scholar
• Loh, A. K. W., G. M. Chen, and B. K. Lim. 2022. “Viscous Dissipation Effect on Forced Convective Transport of Nanofluids in an Asymmetrically Heated Parallel-Plate Microchannel.” Case Studies in Thermal Engineering 35 (102056): 102056. doi:10.1016/j.csite.2022.102056.
   Google Scholar
• Mohamad, Ahmad Qushairi, Nurul Aini Jaafar, Sharidan Shafie, Zulkhibri Ismail, and Muhammad Qasim. 2019. “Theoretical Study on Rotating Casson Fluid in Moving Channel Disk.” Journal of Physics: Conference Series 1366 (1): 012039. doi:10.1088/1742-6596/1366/1/012039.
   Google Scholar
• Mukhopadhyay, Swati, Prativa Ranjan De, Krishnendu Bhattacharyya, and G. C. Layek. 2013. “Casson Fluid Flow Over an Unsteady Stretching Surface.” Ain Shams Engineering Journal 4 (4): 933–938. doi:10.1016/j.asej.2013.04.004.
   Google Scholar
• Naseem, Tahir, Urooj Fatima, Mohammad Munir, Azeem Shahzad, Nasreen Kausar, Kottakkaran Sooppy Nisar, C. Ahamed Saleel, and Mohamed Abbas. 2022. “Joule Heating and Viscous Dissipation Effects in Hydromagnetized Boundary Layer Flow with Variable Temperature.” Case Studies in Thermal Engineering 35 (102083): 102083. doi:10.1016/j.csite.2022.102083.
   Google Scholar
• Nayak, B., S. Acharya, and S. R. Mishra. 2022. “Impact of Dissipative Heat and Thermal Radiation on the Steady Magnetohydrodynamic Nanofluid Flow with an Interaction of Brownian Motion and Chemical Reaction.” International Journal of Applied and Computational Mathematics 8: 3. doi:10.1007/s40819-022-01345-x.
   Google Scholar
• Prakash, D., E. Ragupathi, M. Muthtamilselvan, Bahaaeldin Abdalla, and Qasem M. Al Mdallal. 2021. “Impact of Boundary Conditions of Third Kind on Nanoliquid Flow and Radiative Heat Transfer Through Asymmetrical Channel.” Case Studies in Thermal Engineering 28 (December). 101488. doi:10.1016/j.csite.2021.101488.
   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. doi:10.1016/j.asej.2013.05.003.
   Google Scholar
• Ramudu, Venkata, A. C. K, Anantha Kumar, V. Sugunamma, and N. Sandeep. 2021. “Impact of Soret and Dufour on MHD Casson Fluid Flow Past a Stretching Surface with Convective–Diffusive Conditions.” Journal of Thermal Analysis and Calorimetry 147 (3): 2653–2663. doi:10.1007/s10973-021-10569-w.
   Web of Science ®Google Scholar
• Rashidi, Saman, Javad Abolfazli Esfahani, and Mahla Maskaniyan. 2017. “Applications of Magnetohydrodynamics in Biological Systems-a Review on the Numerical Studies.” Journal of Magnetism and Magnetic Materials 439: 358–372. doi:10.1016/j.jmmm.2017.05.014.
   Web of Science ®Google Scholar
• Reddy, Minnam, Vasudeva Reddy, A. Sreevallabha Reddy, R. Suresh Babu, and N. Sandeep. 2022. “Effect of Nanospray on Hydrodynamic Cylindrical Film Flow of Sutterby–Casson Nanoliquids: A Renewable Energy Application.” Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 095440892211059. doi:10.1177/09544089221105938
   Web of Science ®Google Scholar
• Sandeep, N., C. Sulochana, and G. P. Ashwinkumar. 2022. “Understanding the Dynamics of Chemically Reactive Casson Liquid Flow Above a Convectively Heated Curved Expanse.” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 236 (24): 11420–11430. doi:10.1177/09544062221115084.
   Web of Science ®Google Scholar
• Saranya, S., Qasem M. Al-Mdallal, and I. L. Animasaun. 2022. “Shifted Legendre Collocation Analysis of Time-Dependent Casson Fluids and Carreau Fluids Conveying Tiny Particles and Gyrotactic Microorganisms: Dynamics on Static and Moving Surfaces.” Arabian Journal for Science and Engineering, doi:10.1007/s13369-022-07087-8.
   Web of Science ®Google Scholar
• Sarveshanand, and A. K. Singh. 2015. “Magnetohydrodynamic Free Convection Between Vertical Parallel Porous Plates in the Presence of Induced Magnetic Field.” SpringerPlus 4 (1): 333. doi:10.1186/s40064-015-1097-1.
   PubMedGoogle Scholar
• Sedki, Ahmed M., S. M. Abo-Dahab, J. Bouslimi, and K. H. Mahmoud. 2021. “Thermal Radiation Effect on Unsteady Mixed Convection Boundary Layer Flow and Heat Transfer of Nanofluid Over Permeable Stretching Surface Through Porous Medium in the Presence of Heat Generation.” Science Progress 104 (3): 368504211042261. doi:10.1177/00368504211042261.
   PubMed Web of Science ®Google Scholar
• Shah, Nehad Ali, Hussam Alrabaiah, Dumitru Vieru, and Se-Jin Yook. 2022. “Induced Magnetic Field and Viscous Dissipation on Flows of Two Immiscible Fluids in a Rectangular Channel.” Scientific Reports 12 (1): 39. doi:10.1038/s41598-021-03313-9.
   PubMed Web of Science ®Google Scholar
• Sharma, Bishwa R., Rita Choudhury, and Utpal J. Das. 2022. “Soret–Dufour Effects on Chemically Reacting Non-Darcian MHD Flow Around a Plate.” Heat Transfer, 52(1), 28–39. doi:10.1002/htj.22684.
   Google Scholar
• Shateyi, Stanford, and Sandile Sydney Motsa. 2009. “Thermal Radiation Effects on Heat and Mass Transfer Over an Unsteady Stretching Surface.” Mathematical Problems in Engineering 2009: 1–13. doi:10.1155/2009/965603.
   Web of Science ®Google Scholar
• Sheikholeslami, M., M. M. Rashidi, T. Hayat, and D. D. Ganji. 2016. “Free Convection of Magnetic Nanofluid Considering MFD Viscosity Effect.” Journal of Molecular Liquids 218: 393–399. doi:10.1016/j.molliq.2016.02.093.
   Web of Science ®Google Scholar
• Singh, R. K., and A. K. Singh. 2012. “Effect of Induced Magnetic Field on Natural Convection in Vertical Concentric Annuli.” Li Xue Xue Bao [Acta Mechanica Sinica] 28 (2): 315–323. doi:10.1007/s10409-012-0052-4.
   Web of Science ®Google Scholar
• Singh, Rajiv K., Ashok K. Singh, Nirmal C. Sacheti, and Pallath Chandran. 2010. “On Hydromagnetic Free Convection in the Presence of Induced Magnetic Field.” Warme- Und Stoffubertragung [Heat and Mass Transfer] 46 (5): 523–529. doi:10.1007/s00231-010-0594-6.
   Web of Science ®Google Scholar
• Vijayalakshmi, R., and A. Govindarajan. 2019. “Impact of Heat Transfer and Viscous Dissipation on Unsteady MHD Oscillatory Dusty Fluid Flow Through a Vertical Porous Channel.” Journal of Physics. Conference Series 1377 (1): 012025. doi:10.1088/1742-6596/1377/1/012025.
   Google Scholar
• Vishnu Ganesh, N., Qasem M. Al-Mdallal, G. Hirankumar, R. Kalaivanan, and Ali J. Chamkha. 2022b. “Buoyancy-Driven Convection of MWCNT – Casson Nanofluid in a Wavy Enclosure with a Circular Barrier and Parallel Hot/Cold Fins.” Alexandria Engineering Journal 61 (4): 3249–3264. doi:10.1016/j.aej.2021.08.055.
   Web of Science ®Google Scholar
• Vishnu Ganesh, N., Qasem M. Al-Mdallal, Hakan F. Öztop, and R. Kalaivanan. 2022a. “Analysis of Natural Convection for a Casson-Based Multiwall Carbon Nanotube Nanofluid in a Partially Heated Wavy Enclosure with a Circular Obstacle in the Presence of Thermal Radiation.” Journal of Advanced Research 39 (July): 167–185. doi:10.1016/j.jare.2021.10.006.
   PubMedGoogle Scholar