Spectral quasilinearization analysis of Casson fluid flow over a convectively heated inclined plate considering thermal dispersion and nonlinear thermal convection

doi:10.1088/1674-1056/ae07a9

Abstract The present study investigates the influence of thermal dispersion on the natural convective flow of a Casson fluid along an inclined plate embedded in a non-Darcy porous medium. The governing equations, representing momentum and energy conservations, are transformed into non-dimensional form using similarity transformations. To address the complexity of the resulting equations, a bivariate spectral quasilinearisation method is employed. The effects of relevant parameters — including thermal dispersion, Casson parameter, Biot number, Forchheimer number, inclination angle and nonlinear thermal convection parameter — are thoroughly examined. The results show that the drag coefficient and heat transfer rate increase with the nonlinear thermal convection parameter, Casson parameter and Biot number. In contrast, they decrease as the Forchheimer number and inclination angle increase. The velocity near the surface of the inclined plate increases with the Biot number, Casson parameter and nonlinear thermal convection parameter. However, it decreases farther from the plate. Additionally, the temperature of the Casson fluid increases with most parameters, except the Casson and nonlinear thermal convection parameters.

Keywords: Casson fluid thermal dispersion effect non-Darcy porous medium

Received: 21 March 2025
Revised: 14 June 2025
Accepted manuscript online: 17 September 2025

PACS:	47.55.-t	(Multiphase and stratified flows)
	47.32.-y	(Vortex dynamics; rotating fluids)
	47.20.-k	(Flow instabilities)
	44.25.+f	(Natural convection)

Corresponding Authors: Surender Ontela
E-mail: reddysurender3@gmail.com

Cite this article:

Sathyendar Sreepada, Surender Ontela, and Padigepati Naveen Spectral quasilinearization analysis of Casson fluid flow over a convectively heated inclined plate considering thermal dispersion and nonlinear thermal convection 2025 Chin. Phys. B 34 114702

[1] Kalendar A and Oosthuizen P H 2011 Heat Mass Transfer 47 1181
[2] Kodi R and Mopuri O 2021 Simulation and Analysis of Mathematical Methods in Real-Time Engineering Applications 131
[3] Ragulkumar E and Sambath P 2022 AIP Conf. Proc. 2516 170010
[4] Casson N 1959 Rheology of Disperse Systems 84–104
[5] Dash R K, Mehta K N and Jayaraman G 1996 Int. J. Eng. Sci. 34 1145
[6] Kumar V V, Shekar M N R and Bejawada S G 2023 J. Adv. Res. Fluid Mech. Therm. Sci. 110 157
[7] Osman H I, Ismail Z, Ching D L C, Omar N F M and Vieru D 2023 J. Adv. Res. Fluid Mech. Therm. Sci. 108 172
[8] Yedhiri S R, Devi P N L, Palaparthi K K and Kommaddi H 2024 CFD Lett. 16 64
[9] Darcy H 1856 Les fontaines publiques de la ville de Dijon (Dalmont, Paris)
[10] Forchheimer P 1901 Wasserbewegung durch Boden 45th Edn. (Zeitschrift des Vereins deutscher Ingenieure, Düsseldorf)
[11] Nakayama A and Pop I 1991 Int. J. Heat Mass Transf. 34 357
[12] Kundu P, Kumar V and Mishra I M 2016 Powder Technol. 303 278
[13] Khan Z, Zuhra S, Islam S, Raja M A Z and Ali A 2023 Eur. Phys. J. Plus 138 107
[14] Thenmozhi D, Rao M E, Punithavalli R and Selvi P D 2023 Forces Mech. 12 100214
[15] RamReddy C, Naveen P and Srinivasacharya D 2018 Int. J. Appl. Comput. Math. 4 51
[16] Madhavi K, Prasad V R and Gaffar S A 2021 J. Therm. Anal. Calorim. 146 117
[17] Ajithkumar M, Lakshminarayana P and Vajravelu K 2023 Phys. Fluids 35 032008
[18] Abbas M and Khan N 2023 Adv. Mech. Eng. 15 16878132231207625
[19] Rashad A M, Nafe M A and Eisa D A 2023 Sci. Rep. 13 6071
[20] Bellman R E and Kalaba R E 1965 Quasilinearization and nonlinear boundary-value problems (American Elsevier)
[21] RamReddy C, Pradeepa T and Srinivasacharya D 2015 J. Appl. Anal. Comput. 6 254
[22] Lloyd J R and Sparrow E M 1970 Int. J. Heat Mass Transfer 13 434
[23] Bejan A 2013 Convection Heat Transfer (John Wiley & Sons)

[1]	Blood-based magnetohydrodynamic Casson hybrid nanofluid flow on convectively heated bi-directional porous stretching sheet with variable porosity and slip constraints Showkat Ahmad Lone, Rawan Bossly, Fuad S. Alduais, Afrah Al-Bossly, Arshad Khan, and Anwar Saeed. Chin. Phys. B, 2025, 34(1): 014101.
[2]	Casson hybrid nanofluid flow over a Riga plate for drug delivery applications with double diffusion Abeer S. Alnahdi and Taza Gul. Chin. Phys. B, 2024, 33(10): 104701.
[3]	Erratum to “Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux” Swati Mukhopadhyay and Iswar Chandra Mandal. Chin. Phys. B, 2022, 31(5): 059902.
[4]	Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux Swati Mukhopadhyay, Iswar Chandra Mandal. Chin. Phys. B, 2014, 23(4): 044702.
[5]	Casson fluid flow and heat transfer over a nonlinearly stretching surface Swati Mukhopadhyay. Chin. Phys. B, 2013, 22(7): 074701.
[6]	Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer Krishnendu Bhattacharyya, Tasawar Hayat, Ahmed Alsaedi. Chin. Phys. B, 2013, 22(2): 024702.
[7]	Effects of thermal radiation on Casson fluid flow and heat transfer over an unsteady stretching surface subjected to suction/blowing Swati Mukhopadhyay. Chin. Phys. B, 2013, 22(11): 114702.
[8]	Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects Swati Mukhopadhyay, Krishnendu Bhattacharyya, Tasawar Hayat. Chin. Phys. B, 2013, 22(11): 114701.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Spectral quasilinearization analysis of Casson fluid flow over a convectively heated inclined plate considering thermal dispersion and nonlinear thermal convection

Cite this article:

Online attention