Abstract
The current paper focusses on the heat transfer characteristics in nanofluid MHD flow across a decelerated rotating disk with uniform suction. It is concerned with conventional von Karman flow pumping, but unlike a typical Newtonian fluid, it uses water-based nanofluids made up of TiO\(_2\), Al\(_2\)O\(_3\), Ag, CuO and Cu nanoparticles. The thermal energy equation was added to the classic von Karman flow problem in three dimensions. After employing the similarity transformations used by Watson and Wang, the leading equations transformed into a set of ordinary differential equations were numerically solved by using bvp4c MATLAB solver. Graphs were used to evaluate the behavioural study of heat transfer for various parameters. Furthermore, it can be stated that for a smaller Prandtl number Pr, the heat transfer rate is highest for all types of naofluids. The rate of heat transmission reduces as suction parameter A increases. The local Nusselt numbers are calculated and analysed and the path to enhance heat transfer is also proposed.
Similar content being viewed by others
References
Th V Karman, Appl. Math. Mech.\(/\)Z. Angew. Math. Mech. 1, 233 (1921)
E R Benton, J. Fluid Mech. 24, 781 (1966)
H Ockendon, Q. J. Mech. Appl. Math. 25, 291 (1972)
K Millsaps and K Pohlhausen, J. Aeronaut. Sci. 19, 120 (1952)
E M Sparrow and J L Gregg, J. Heat Transfer 81, 249 (1959)
E M Sparrow and Re D Cess, Trans. ASME 29, 181 (1960)
H A Attia, Fluid Dynam. Res. 23, 283 (1998)
M Turkyilmazoglu and P Senel, Int. J. Therm. Sci. 63, 146 (2013)
R J P Gowda, A Rauf, R N Kumar, B C Prasannakumara and S A Shehzad, Indian J. Phys. 96, 2041 (2022)
R N Kumar, S Suresha, R J P Gowda, S B Megalamani and B C Prasannakumara, Pramana – J. Phys. 95, 180 (2021)
L T Watson and C Y Wang, Phys. Fluids 22, 2267 (1979)
M Rahman and H I Andersson, Heat Transfer Res. 5, 3 (2019)
S U S Choi, D A Singer and H P Wang, Asme Fed. 66, 99 (1995)
F Wang, S P Rani, K Sarada, R J P Gowda, H Y Zahran and E E Mahmoud, Case Stud. Therm. Eng. 33, 101930 (2022)
J C Umavathi, D G Prakasha, Y M Alanazi, M MA Lashin, F S Al-Mubaddel, R Kumar and R J P Gowda, Int. J. Mod. Phys. B 37, 2350031 (2023)
N Bachok, A Ishak and I Pop, Physica B 406, 1767 (2011)
M M Rashidi, S Abelman and N F Mehr, Int. J. Heat Mass Transf. 62, 515 (2013)
B C Prasannakumara and R J P Gowda, Waves Random Complex Media 1 (2022)
R N Kumar, R J P Gowda, M M Alam, I Ahmad, Y M Mahrous, M R Gorji and B C Prasannakumara, Int. Commun. Heat Mass Transf. 126, 105445 (2021)
M Turkyilmazoglu, Comput. Fluids 94, 139 (2014)
R N Kumar, F Gamaoun, A Abdulrahman, J S Chohan and R J Punith Gowda, Int. J. Mod. Phys. B 36, 2250170 (2022)
Z Uddin, J. Appl. Fluid Mech. 10, 871 (2017)
A Bhandari, Proc. Inst. Mech. Eng. C: J. Mech. Eng. Sci. 135, 2201 (2020)
H F Oztop and E Abu-Nada, Int. J. Heat Fluid Flow 29, 1326 (2008)
L F Shampine, J Kierzenka and M W Reichelt, Tutorial Notes 11, 437 (2000)
M Rahman, F Sharif, M Turkyilmazoglu and M S Siddiqui, Pramana – J. Phys. 96, 1 (2022)
N Kelson and A Desseaux, ANZIAM J. 42, 837 (2000)
M Rahman and H I Andersson, Int. J. Heat Mass Transf. 112, 1057 (2017)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rahman, M., Turkyilmazoglu, M., Bilal, M. et al. On heat transfer with unsteady MHD nanofluid von Karman flow with uniform suction. Pramana - J Phys 97, 146 (2023). https://doi.org/10.1007/s12043-023-02618-w
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-023-02618-w
Keywords
- Thermal boundary layer flow
- decelerating disk flow
- similarity solutions
- magnetic field
- nano-particles
- uniform suction