MHD Radiative Casson Fluid Flow through Forchheimer Permeable Medium with Joule Heating Influence
DOI:
https://doi.org/10.37934/cfdl.15.8.179199Keywords:
Radiation, MHD, Forchheimer permeable medium, viscous dissipation, joule heating, chemical reactionAbstract
In the current study, Casson fluid flow over an inclined non-linear surface through Darcy-Forchhiemer permeable medium is analysed numerically with the influences of effects viscous dissipation, MHD, radiation, chemical reaction, and Joule heating. The governed PDE of the problem are converted to non-linear ODE using suitable similarity conversions. The ODE are solved using the Keller Box method. The influence of parameters is analysed by constructing velocity, temperature, and concentration profiles. The velocity profile decreases for raising values of the Casson parameter and Magnetic parameter and increases for the permeability parameter. Temperature increases for progressive values of the radiation parameter, Dofour parameter, and Concentration profile decreases for the chemical reaction parameter. Also, to validate the numerical method local parameters are also computed and compared with existing work
Downloads
References
Malashetty, M. S., J. C. Umavathi, and J. Prathap Kumar. "Convective magnetohydrodynamic two fluid flow and heat transfer in an inclined channel." Heat and Mass transfer 37, no. 2-3 (2001): 259-264. https://doi.org/10.1007/s002310000134
Chen, C-H. "Heat and mass transfer in MHD flow by natural convection from a permeable, inclined surface with variable wall temperature and concentration." Acta Mechanica 172, no. 3-4 (2004): 219-235. https://doi.org/10.1007/s00707-004-0155-5
Alam, M. S., M. M. Rahman, and M. A. Sattar. "MHD free convective heat and mass transfer flow past an inclined surface with heat generation." Science & Technology Asia (2006): 1-8.
Takhar, Harmindar S., Ali J. Chamkha, and Girishwar Nath. "Effects of non-uniform wall temperature or mass transfer in finite sections of an inclined plate on the MHD natural convection flow in a temperature stratified high-porosity medium." International journal of thermal sciences 42, no. 9 (2003): 829-836. https://doi.org/10.1016/S1290-0729(03)00053-X
Chhabra, Rajendra P. "Non-Newtonian fluids: an introduction." Rheology of complex fluids (2010): 3-34. https://doi.org/10.1007/978-1-4419-6494-6_1
Vajravelu, K., K. V. Prasad, Hanumesh Vaidya, Neelufer Z. Basha, and Chiu-On Ng. "Mixed convective flow of a Casson fluid over a vertical stretching sheet." International Journal of Applied and Computational Mathematics 3 (2017): 1619-1638. https://doi.org/10.1007/s40819-016-0203-6
Mustafa, M., T. Hayat, I. Pop, and Al Aziz. "Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate." Heat Transfer—Asian Research 40, no. 6 (2011): 563-576. https://doi.org/10.1002/htj.20358
Mukhopadhyay, Swati. "Effects of thermal radiation on Casson fluid flow and heat transfer over an unsteady stretching surface subjected to suction/blowing." Chinese Physics B 22, no. 11 (2013): 114702. https://doi.org/10.1088/1674-1056/22/11/114702
Mukhopadhyay, Swati, and Rama Subba Reddy Gorla. "Effects of partial slip on boundary layer flow past a permeable exponential stretching sheet in presence of thermal radiation." Heat and Mass Transfer 48 (2012): 1773-1781. https://doi.org/10.1007/s00231-012-1024-8
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
Gudekote, Manjunatha, and Rajashekhar Choudhari. "Slip effects on peristaltic transport of Casson fluid in an inclined elastic tube with porous walls." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 43, no. 1 (2018): 67-80.
Rehman, Khalil Ur, Ebrahem A. Algehyne, Faisal Shahzad, El-Sayed M. Sherif, and Yu-Ming Chu. "On thermally corrugated porous enclosure (TCPE) equipped with casson liquid suspension: Finite element thermal analysis." Case Studies in Thermal Engineering 25 (2021): 100873. https://doi.org/10.1016/j.csite.2021.100873
Haq, Fazal, Muzher Saleem, and M. Ijaz Khan. "Investigation of mixed convection magnetized Casson nanomaterial flow with activation energy and gyrotactic microorganisms." Journal of Physics Communications 5, no. 12 (2021): 125001. https://doi.org/10.1088/2399-6528/ac3889
Jawad, M., F. Mebarek-Oudina, H. Vaidya, and P. Prashar. "Influence of bioconvection and thermal radiation on MHD Williamson nano Casson fluid flow with the swimming of gyrotactic microorganisms due to porous stretching sheet." Journal of Nanofluids 11, no. 4 (2022): 500-509. https://doi.org/10.1166/jon.2022.1863
Omar, Nur Fatihah Mod, Husna Izzati Osman, Ahmad Qushairi Mohamad, Rahimah Jusoh, and Zulkhibri Ismail. "Analytical Solution on Performance of Unsteady Casson Fluid with Thermal Radiation and Chemical Reaction." Journal of Advanced Research in Numerical Heat Transfer 11, no. 1 (2022): 36-41.
Reddy, P. Bala Anki. "Magnetohydrodynamic flow of a Casson fluid over an exponentially inclined permeable stretching surface with thermal radiation and chemical reaction." Ain Shams Engineering Journal 7, no. 2 (2016): 593-602. https://doi.org/10.1016/j.asej.2015.12.010
Haq, Fazal, Mujeeb ur Rahman, M. Ijaz Khan, and T. Hayat. "Transportation of activation energy in the development of a binary chemical reaction to investigate the behavior of an Oldroyd-B fluid with a nanomaterial." Physica Scripta 94, no. 10 (2019): 105010. https://doi.org/10.1088/1402-4896/ab194a
Chu, Yu-Ming, Muhammad Sadiq Hashmi, Nargis Khan, Sami Ullah Khan, Muhammad Ijaz Khan, Seifedine Kadry, and Zahra Abdelmalek. "Thermophoretic particles deposition features in thermally developed flow of Maxwell fluid between two infinite stretched disks." Journal of Materials Research and Technology 9, no. 6 (2020): 12889-12898. https://doi.org/10.1016/j.jmrt.2020.09.011
Khan, Ansab Azam, Khairy Zaimi, Suliadi Firdaus Sufahani, and Mohammad Ferdows. "MHD flow and heat transfer of double stratified micropolar fluid over a vertical permeable shrinking/stretching sheet with chemical reaction and heat source." Journal of Advanced Research in Applied Sciences and Engineering Technology 21, no. 1 (2020): 1-14. https://doi.org/10.37934/araset.21.1.114
Chu, Yu-Ming, M. Ijaz Khan, Hassan Waqas, Umar Farooq, Sami Ullah Khan, and Mubbashar Nazeer. "Numerical simulation of squeezing flow Jeffrey nanofluid confined by two parallel disks with the help of chemical reaction: effects of activation energy and microorganisms." International Journal of Chemical Reactor Engineering 19, no. 7 (2021): 717-725. https://doi.org/10.1515/ijcre-2020-0165
Liu, Chunyan, Muhammad Usman Khan, Muhammad Ramzan, Yu-Ming Chu, Seifedine Kadry, M. Y. Malik, and Ronnason Chinram. "Nonlinear radiative Maxwell nanofluid flow in a Darcy–Forchheimer permeable media over a stretching cylinder with chemical reaction and bioconvection." Scientific Reports 11, no. 1 (2021): 9391. https://doi.org/10.1038/s41598-021-88947-5
Safdar, Rabia, Muhammad Jawad, Sajjad Hussain, Muhammad Imran, Ali Akgül, and Wasim Jamshed. "Thermal radiative mixed convection flow of MHD Maxwell nanofluid: implementation of Buongiorno's model." Chinese Journal of Physics 77 (2022): 1465-1478. https://doi.org/10.1016/j.cjph.2021.11.022
Haq, Fazal, M. Ijaz Khan, and Sami Ullah Khan. "Modeling and analysis of Cattaneo–Christov double diffusion model for chemically reactive magnetized tangent hyperbolic nanofluid." International Journal of Applied and Computational Mathematics 8, no. 3 (2022): 146. https://doi.org/10.1007/s40819-022-01342-0
Majeed, Aaqib, Ahmad Zeeshan, and Muhammad Jawad. "Double stratification impact on radiative MHD flow of nanofluid toward a stretchable cylinder under thermophoresis and brownian motion with multiple slip." International Journal of Modern Physics B (2023): 2350232. https://doi.org/10.1142/S0217979223502326
Hakeem, AK Abdul, P. Renuka, N. Vishnu Ganesh, R. Kalaivanan, and B. Ganga. "Influence of inclined Lorentz forces on boundary layer flow of Casson fluid over an impermeable stretching sheet with heat transfer." Journal of Magnetism and Magnetic Materials 401 (2016): 354-361. https://doi.org/10.1016/j.jmmm.2015.10.026
Gopal, D., N. Kishan, and C. S. K. Raju. "Viscous and Joule's dissipation on Casson fluid over a chemically reacting stretching sheet with inclined magnetic field and multiple slips." Informatics in medicine Unlocked 9 (2017): 154-160. https://doi.org/10.1016/j.imu.2017.08.003
Shamshuddin, M. D., S. R. Mishra, and Thirupathi Thumma. "Chemically reacting radiative Casson fluid over an inclined porous plate: a numerical study." In Numerical Heat Transfer and Fluid Flow: Select Proceedings of NHTFF 2018, pp. 469-479. Singapore: Springer Singapore, 2018. https://doi.org/10.1007/978-981-13-1903-7_54
Raju, R. Srinivasa. "Unsteady MHD boundary layer flow of Casson fluid over an inclined surface embedded in a porous medium with thermal radiation and chemical reaction." Journal of Nanofluids 7, no. 4 (2018): 694-703. https://doi.org/10.1166/jon.2018.1500
Al-Hadhrami, A. K., L. Elliott, and D. B. Ingham. "A new model for viscous dissipation in porous media across a range of permeability values." Transport in porous media 53 (2003): 117-122. https://doi.org/10.1023/A:1023557332542
Cortell, Rafael. "Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet." Physics Letters A 372, no. 5 (2008): 631-636. https://doi.org/10.1016/j.physleta.2007.08.005
Sheikholeslami, Mohsen, Shirley Abelman, and Davood Domiri Ganji. "Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation." International Journal of Heat and Mass Transfer 79 (2014): 212-222. https://doi.org/10.1016/j.ijheatmasstransfer.2014.08.004
Vijaya Kumar, A. G., C. Veeresh, S. V. K. Varma, M. Umamaheswar, and M. C. Raju. "Joule heating and thermal diffusion effects on MHD radiative and convective Casson fluid flow past an oscillating semi-infinite vertical porous plate." Frontiers in Heat and Mass Transfer (FHMT) 8 (2017). https://doi.org/10.5098/hmt.8.1
Swain, B. K., B. C. Parida, S. Kar, and N. Senapati. "Viscous dissipation and joule heating effect on MHD flow and heat transfer past a stretching sheet embedded in a porous medium." Heliyon 6, no. 10 (2020): e05338. https://doi.org/10.1016/j.heliyon.2020.e05338
Qayyum, Sumaira, M. Ijaz Khan, Faria Masood, Yu‐Ming Chu, Seifedine Kadry, and Mubbashar Nazeer. "Interpretation of entropy generation in Williamson fluid flow with nonlinear thermal radiation and first‐order velocity slip." Mathematical Methods in the Applied Sciences 44, no. 9 (2021): 7756-7765. https://doi.org/10.1002/mma.6735
Hamrelaine, Salim, Fateh Mebarek-Oudina, and Mohamed Rafik Sari. "Analysis of MHD Jeffery Hamel flow with suction/injection by homotopy analysis method." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 58, no. 2 (2019): 173-186.
Haq, Fazal, M. Ijaz Khan, Yu-Ming Chu, Niaz B. Khan, and Seifedine Kadry. "Non-magnetized mixed convective viscous flow submerged in titanium oxide and aluminum titanium oxide hybrid nanoparticles towards a surface of cylinder." International Communications in Heat and Mass Transfer 120 (2021): 105027. https://doi.org/10.1016/j.icheatmasstransfer.2020.105027
Ganesh, Ganugapati Raghavendra, and Wuriti Sridhar. "MHD radiative Casson—Nanofluid stream above a nonlinear extending surface including chemical reaction through Darcy‐Forchiemer medium." Heat Transfer 50, no. 8 (2021): 7691-7711. https://doi.org/10.1002/htj.22249
Jawad, Muhammad, Khurrem Shehzad, and Rabia Safdar. "Novel computational study on MHD flow of nanofluid flow with gyrotactic microorganism due to porous stretching sheet." Punjab University Journal of Mathematics 52, no. 12 (2021).
Abbas, Syed Zaheer, M. Waqas, Adel Thaljaoui, M. Zubair, Anis Riahi, Y. M. Chu, and Waqar Azeem Khan. "Modeling and analysis of unsteady second-grade nanofluid flow subject to mixed convection and thermal radiation." Soft Computing (2022): 1-10. https://doi.org/10.1007/s00500-021-06575-7
Haq, Fazal, Muhammad Ijaz Khan, Sami Ullah Khan, Khadijah M. Abualnaja, and M. A. El-Shorbagy. "Physical aspects of magnetized Jeffrey nanomaterial flow with irreversibility analysis." Chinese Physics B 31, no. 8 (2022): 084703. https://doi.org/10.1088/1674-1056/ac4236
Rasool, Ghulam, Anum Shafiq, Yu-Ming Chu, Muhammad S. Bhutta, and Amjad Ali. "Optimal homotopic exploration of features of cattaneo-christov model in second grade nanofluid flow via Darcy-Forchheimer medium subject to viscous dissipation and thermal radiation." Combinatorial Chemistry & High Throughput Screening 25, no. 14 (2022): 2485-2497. https://doi.org/10.2174/1386207324666210903144447
Safdar, Rabia, Iqra Gulzar, Muhammad Jawad, Wasim Jamshed, Faisal Shahzad, and Mohamed R. Eid. "Buoyancy force and Arrhenius energy impacts on Buongiorno electromagnetic nanofluid flow containing gyrotactic microorganism." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 236, no. 17 (2022): 9459-9471. https://doi.org/10.1177/09544062221095693
Jawad, Muhammad, Maria Kirn Hameed, Aaqib Majeed, and Kottakkaran Sooppy Nisar. "Arrhenius energy and heat transport activates effect on gyrotactic microorganism flowing in maxwell bio-nanofluid with nield boundary conditions." Case Studies in Thermal Engineering 41 (2023): 102574. https://doi.org/10.1016/j.csite.2022.102574
Gupta, Nitish, and Devarakonda Bhargavi. "Effect of Magnetic Field on the Developing Thermal Field in a Duct Filled with Porous Media under Local Thermal Non-Equilibrium with a Nonlinear Flow Model." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 103, no. 1 (2023): 87-104.
Jawad, Muhammad, Maria Kirn Hameed, Kottakkaran Sooppy Nisar, and Afraz Hussain Majeed. "Darcy-Forchheimer flow of maxwell nanofluid flow over a porous stretching sheet with Arrhenius activation energy and nield boundary conditions." Case Studies in Thermal Engineering 44 (2023): 102830. https://doi.org/10.1016/j.csite.2023.102830
Ganesh, G. Raghavendra, W. Sridhar, Khaled Al-Farhany, and Sameh E. Ahmed. "Electrically MHD Casson nanofluid flow and entropy exploration under the influence of the viscous dissipation, radiation, and higher-order chemical reaction." Physica Scripta 97, no. 6 (2022): 065208. https://doi.org/10.1088/1402-4896/ac6e51
Sharma, B. K., and Rishu Gandhi. "Combined effects of Joule heating and non-uniform heat source/sink on unsteady MHD mixed convective flow over a vertical stretching surface embedded in a Darcy-Forchheimer porous medium." Propulsion and Power Research 11, no. 2 (2022): 276-292. https://doi.org/10.1016/j.jppr.2022.06.001
Bejawada, Shankar Goud, Yanala Dharmendar Reddy, Wasim Jamshed, Kottakkaran Sooppy Nisar, Abdulaziz N. Alharbi, and Ridha Chouikh. "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, no. 10 (2022): 8207-8220. https://doi.org/10.1016/j.aej.2022.01.043
Cortell, Rafael. "Viscous flow and heat transfer over a nonlinearly stretching sheet." Applied Mathematics and Computation 184, no. 2 (2007): 864-873. https://doi.org/10.1016/j.amc.2006.06.077
Ullah, Imran, Sharidan Shafie, and Ilyas Khan. "Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium." Journal of King Saud University-Science 29, no. 2 (2017): 250-259. https://doi.org/10.1016/j.jksus.2016.05.003