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Viscous dissipation acts as an energy source and alters the temperature distribution, and extremely shear flows impact the fluid flow structure. Thus, the current study analyses the three-dimensional rotating Casson fluid flow across a linear extending sheet in the existence of internal energy and porous medium. The controlling equations for velocity, concentration, and energy of the steady flow are provided and simplified using the similarity transformations. The three-staged collocation technique, namely Lobatto III A was implemented in conjunction with MATLAB to solve the resulting equations. The physical characteristics of the relevant quantities were explained with the support of graphs. It was noticed that the velocity component decreased with the rise in the porosity parameter. For the improved values of the Eckert number, the temperature component increased. The influence of Eckert number, Casson parameter etc. on the Skin friction, the Nusselt number and the Sherwood number were assessed.

References

  1. Archana M, Gireesha BJ, Prasannakumara BC, Gorla RSR. Influence of nonlinear thermal radiation on rotating flow of Casson nanofluid. Nonlinear Eng. 2018; 7(2): 91–101.
     Google Scholar
  2. Shanker Seth G, Kumar Mandal P. Hydromagnetic rotating flow of Casson fluid in Darcy-Forchheimer porous medium. MATEC Web Conf. 2018; 192: 4–7.
     Google Scholar
  3. Wang CY. Stretching a surface in a rotating fluid. Z. Angew. Math. Phys. 1988; 39(2): 177–185.
     Google Scholar
  4. A. Hussain, Haider Q, Rehman A, Ahmad H, Baili J, Aljahdaly NH, et al. A thermal conductivity model for hybrid heat and mass transfer investigation of single and multi-wall carbon nano-tubes flow induced by a spinning body. Case Stud. Therm. Eng. 2021; 28: 101449.
     Google Scholar
  5. Krishna MV, Ahammad NA, Chamkha AJ. Radiative MHD flow of Casson hybrid nanofluid over an infinite exponentially accelerated vertical porous surface. Case Stud. Therm. Eng. 2021; 27: 101229.
     Google Scholar
  6. Anuar NS, Bachok N, Pop I. Radiative hybrid nanofluid flow past a rotating permeable stretching/shrinking sheet. Int. J. Numer. Methods Heat Fluid Flow. 2020; 31(3): 914–932.
     Google Scholar
  7. Qayyum S, Khan MI, Hayat T, Alsaedi A. Comparative investigation of five nanoparticles in flow of viscous fluid with Joule heating and slip due to rotating disk. Phys. B Condens. Matter. 2018; 534: 173–183.
     Google Scholar
  8. Nadeem S, Saleem S. Theoretical Investigation of MHD Nanofluid Flow Over a Rotating Cone: An Optimal Solutions. Inf. Sci. Lett. 2014; 3(2): 55–62.
     Google Scholar
  9. Salahuddin T, Siddique N, Arshad M, Tlili I. Internal energy change and activation energy effects on Casson fluid. AIP Adv. 2020; 10(2).
     Google Scholar
  10. Shoaib M, Raja MAZ, Sabir MT, Awais M, Islam S, Shah Z, et al. Numerical analysis of 3-D MHD hybrid nanofluid over a rotational disk in presence of thermal radiation with Joule heating and viscous dissipation effects using Lobatto IIIA technique. Alexandria Eng. J. 2021; 60(4): 3605–3619.
     Google Scholar
  11. Ijaz Khan M, Nasir T, Hayat T, Khan NB, Alsaedi A. Binary chemical reaction with activation energy in rotating flow subject to nonlinear heat flux and heat source/sink. J. Comput. Des. Eng. 2020; 7(3): 279–286.
     Google Scholar
  12. Ali B, Naqvi RA, Hussain D, Aldossary OM, Hussain S. Magnetic rotating flow of a hybrid nano-materials ag MoS2 and Go MoS2 in C2H6O2 H2O hybrid base fluid over an extending surface involving activation energy: Fe simulation. Mathematics. 2020; 10: 1–22.
     Google Scholar
  13. Prathiba A, Akavaram VL. Numerical investigation of a convective hybrid nanofluids around a rotating sheet. Heat Transf, 2022.
     Google Scholar
  14. Narender G, Govardhan K, Sarma GS. MHD Casson Nanofluid Past a Stretching Sheet with the Effects of Viscous Dissipation, Chemical Reaction and Heat Source/Sink. J. Appl. Comput. Mech. 2021; 7(4): 2040–2048.
     Google Scholar
  15. Ali A, Farooq H, Abbas Z, Bukhari Z, Fatima A. Impact of Lorentz force on the pulsatile flow of a non-Newtonian Casson fluid in a constricted channel using Darcy’s law: a numerical study. Sci. Rep. 2020; 10(1): 1–15.
     Google Scholar
  16. Dash RK, Mehta KN, Jayaraman G. Casson Fluid Flow In A Pipe Filled With A Homogeneous Porous Medium. Int. J. Engng Sci. 1996; 34(10): 1145–1156.
     Google Scholar
  17. Obalalu AM, Ajala OA, Adeosun AT, Wahaab FA, Aliu O, Adebayo LL. Natural Convective Non-Newtonian Casson Fluid Flow in a Porous Medium with Slip and Temperature Jump Boundary Conditions. Pet. Coal. 2020; 62(4): 1532–1545.
     Google Scholar
  18. Sandeep N, Koriko OK, Animasaun IL. Modified kinematic viscosity model for 3D-Casson fluid flow within boundary layer formed on a surface at absolute zero. J. Mol. Liq. 2016; 221: 1197–1206.
     Google Scholar
  19. Umar M, Sabir Z, Imran A, Wahab HA, Shoaib M, Raja MAZ. The 3-D flow of casson nanofluid over a stretched sheet with chemical reactions, velocity slip, thermal radiation, and brownian motion. Therm. Sci. 2020; 24(5): 2929–2939.
     Google Scholar
  20. Mehta RP. Kataria HR. Cross diffusion effects on motion of three dimensional cassion fluid flow past between two horizontal plates in a porous medium. J. Appl. Sci. Eng. 2020; 23(2): 319–331.
     Google Scholar
  21. Gangaiah T, Saidulu N, Venkata Lakshmi A. The influence of thermal radiation on mixed convection MHD flow of a casson nanofluid over an exponentially stretching sheet. Int. J. Nanosci. Nanotechnol. 2019; 15(2): 83–98.
     Google Scholar
  22. Besthapu P, Haq RU, Bandari S, Al-Mdallal OM. Thermal radiation and slip effects on MHD stagnation point flow of non-Newtonian nanofluid over a convective stretching surface. Neural Comput. Appl. 2019;31(1): 207–217.
     Google Scholar
  23. Reza AM, Chahal R, Sharma N. Radiation Effect on MHD Casson Fluid Flow over a Power-Law Stretching. World Academy of Science, Engineering and Technology International Journal of Chemical, Molecular, Nuclear, Materials and Metallurgical Engineering. 2016; 3(5): 46451.
     Google Scholar
  24. Mangathai P, Reddy BR. Unsteady Mhd Williamson And Casson Nano Fluid Flow In The Presence Of Radiation And Viscous Dissipation. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2021; 12(13): 1036–1051.
     Google Scholar
  25. Raju ABMM, Mallikarjuna B. Nonlinear Convective Rotating Casson Fluid Flow Over A Radiated Porous Cone With Rotation And Variable Properties. Journal of the Korean Physical Society. 2019; 8(7): 75–92.
     Google Scholar
  26. Sahoo A, Nandkeolyar R. Entropy generation and dissipative heat transfer analysis of mixed convective hydromagnetic flow of a Casson nanofluid with thermal radiation and Hall current. Scientific Reports. 2021; 11(1).
     Google Scholar
  27. Satya Narayana PV, Tarakaramu N, Sarojamma G, Animasaun IL. Numerical simulation of nonlinear thermal radiation on the 3D flow of a couple stress casson nanofluid due to a stretching sheet. J. Therm. Sci. Eng. Appl. 2021; 13(2): 1–10.
     Google Scholar
  28. Kodi R, Mopuri O. Unsteady MHD oscillatory Casson fluid flow past an inclined vertical porous plate in the presence of chemical reaction with heat absorption and Soret effects. Heat Transf. 2021.
     Google Scholar
  29. Yusof NS, Soid SK, Illias MR, Abd Aziz AS, Mohd Nasir NAA. Radiative Boundary Layer Flow of Casson Fluid Over an Exponentially Permeable Slippery Riga Plate with Viscous Dissipation. J. Adv. Res. Appl. Sci. Eng. Technol. 2020; 21(1): 41–51.
     Google Scholar
  30. Jawad M, Saeed A, Gul T, Bariq A. Mhd darcy-forchheimer flow of casson nanofluid due to a rotating disk with thermal radiation and arrhenius activation energy. J. Phys. Commun. 2021; 5(2):. 1–19.
     Google Scholar
  31. Krishna MV, Chamkha AJ. Hall and ion slip effects on MHD rotating flow of elastico-viscous fluid through porous medium. Int. Commun. Heat Mass Transf. 2020; 113: 104494.
     Google Scholar
  32. Dhanalakshmi M, Jyothi V, Jayarami Reddy K. Soret and Dufour Effects on MHD Convective Flow Past a Vertical Plate Through Porous Medium. J. Phys. Conf. Ser. 2019; 1344: 1.
     Google Scholar
  33. Bhukta D, Dash GC, Mishra SR. Heat and Mass Transfer on MHD Flow of a Viscoelastic Fluid through Porous Media over a Shrinking Sheet. Int. Sch. Res. Not. 2014: 1-11.
     Google Scholar
  34. Mabood F, Shateyi S, Rashidi MM, Momoniat E, Freidoonimehr N. MHD stagnation point flow heat and mass transfer of nanofluids in porous medium with radiation, viscous dissipation and chemical reaction. Adv. Powder Technol. 2016; 27(2): 742–749.
     Google Scholar
  35. Mishra SR, Nayak B, Sharma RP. MHD stagnation-point flow past over a stretching sheet in the presence of non-darcy porous medium and heat source/sink. Defect Diffus. Forum. 2017; 374: 92–105.
     Google Scholar
  36. Sivasankaran S, Niranjan H, Bhuvaneswari M. Chemical reaction, radiation and slip effects on MHD mixed convection stagnation-point flow in a porous medium with convective boundary condition. Int. J. Numer. Methods Heat Fluid Flow. 2017; 27(2): 454–470.
     Google Scholar
  37. Alhamaly AS, Khan M, Shuja SZ, Yilbas BS, Al-Qahtani H. Axisymmetric stagnation point flow on linearly stretching surfaces and heat transfer: Nanofluid with variable physical properties. Case Stud. Therm. Eng. 2021; 24.
     Google Scholar
  38. Lund LA, Omar Z, Raza J, Khan I. Magnetohydrodynamic flow of Cu–Fe3O4/H2O hybrid nanofluid with effect of viscous dissipation: dual similarity solutions. J. Therm. Anal. Calorim. 2021; 143(2): 915–927.
     Google Scholar
  39. Lund LA, Omar Z, Khan I, Sherif ESM. Dual branches of mhd three-dimensional rotating flow of hybrid nanofluid on nonlinear shrinking sheet. Comput. Mater. Contin. 2021; 66(1): 127–139.
     Google Scholar
  40. Shoaib M, Raja MAZ, Sabir MT, Islam S, Shah Z, Kumam P, et al. Numerical investigation for rotating flow of MHD hybrid nanofluid with thermal radiation over a stretching sheet. Sci. Rep. 2020; 10(1): 1–15.
     Google Scholar
  41. Ahmad F, Waqas H, Ayed H, Hussain S, Farooq S, Khan SA, et al. Numerical treatment with Lobatto-IIIa scheme magneto-thermo-natural convection flow of casson nanofluid (MoS2−Cu/SA) configured by a stretching cylinder in porous medium with multiple slips. Case Stud. Therm. Eng. 2021; 26: 101132.
     Google Scholar
  42. Jain S, Choudhary R. Entropy Generation Analysis of Radiative Rotating Casson Fluid Flow Over a Stretching Surface Under Convective Boundary Conditions BT. Numerical Heat Transfer and Fluid Flow. 2019: 349–357.
     Google Scholar
  43. Butt AS, Ali A, Mehmood A. Study of Flow and Heat Transfer on a Stretching Surface in a Rotating Casson Fluid. Proc. Natl. Acad. Sci. India Sect. A - Phys. Sci. 2015; 85(3): 421–426.
     Google Scholar
  44. Senapati M, Swain K, Parida SK. Numerical analysis of three-dimensional MHD flow of Casson nanofluid past an exponentially stretching sheet. Karbala Int. J. Mod. Sci. 2020; 6(1): 93–102.
     Google Scholar
  45. Shah Z, Bonyah E, Islam S, Gul T. Impact of thermal radiation on electrical MHD rotating flow of Carbon nanotubes over a stretching sheet. AIP Adv. 2019; 9(1).
     Google Scholar
  46. Vedavathi N, Dharmaiah G, Venkatadri K, Gaffar SA. Numerical study of radiative non-Darcy nanofluid flow over a stretching sheet with a convective Nield conditions and energy activation. Nonlinear Eng. 2021; 10(1): 159–176.
     Google Scholar
  47. Ibrahim W. Passive control of nanoparticle of micropolar fluid past a stretching sheet with nanoparticles, convective boundary condition and second-order slip. Proc. Inst. Mech. Eng. Part E J. Process Mech. Eng. 2016; 231(4): 704–719.
     Google Scholar
  48. Ouyang C, Akhtar R, Raja MAZ, Touseef Sabir M, Awais M, Shoaib M. Numerical treatment with Lobatto IIIA technique for radiative flow of MHD hybrid nanofluid (Al2O3-Cu/H2O) over a convectively heated stretchable rotating disk with velocity slip effects. AIP Adv. 2020; 10(5).
     Google Scholar
  49. Uddin I, Akhtar R, Zhiyu Z, Islam S, Shoaib M, Raja MAZ. Numerical Treatment for Darcy-Forchheimer Flow of Sisko Nanomaterial with Nonlinear Thermal Radiation by Lobatto IIIA Technique. Math. Probl. Eng. 2019; 2019.
     Google Scholar