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

中国物理B ›› 2025, Vol. 34 ›› Issue (11): 114702-114702.doi: 10.1088/1674-1056/ae07a9

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

Sathyendar Sreepada¹, Surender Ontela^2,1,†, and Padigepati Naveen³

1 Department of Mathematics, National Institute of Technology Mizoram, Aizawl, Mizoram 796012, India;
2 Department of Mathematics, National Institute of Technology Kurukshetra, Haryna 136119, India;
3 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India

收稿日期:2025-03-21 修回日期:2025-06-14 接受日期:2025-09-17 发布日期:2025-10-30

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

Sathyendar Sreepada¹, Surender Ontela^2,1,†, and Padigepati Naveen³

1 Department of Mathematics, National Institute of Technology Mizoram, Aizawl, Mizoram 796012, India;
2 Department of Mathematics, National Institute of Technology Kurukshetra, Haryna 136119, India;
3 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India

Received:2025-03-21 Revised:2025-06-14 Accepted:2025-09-17 Published:2025-10-30
Contact: Surender Ontela E-mail:reddysurender3@gmail.com

摘要/Abstract

摘要： 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.

关键词: Casson fluid, thermal dispersion effect, non-Darcy porous medium

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.

Key words: Casson fluid, thermal dispersion effect, non-Darcy porous medium

中图分类号: (Multiphase and stratified flows)

47.55.-t

47.32.-y (Vortex dynamics; rotating fluids) 47.20.-k (Flow instabilities) 44.25.+f (Natural convection)

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[J]. 中国物理B, 2025, 34(11): 114702-114702.

参考文献

[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)

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

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

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