B. Rajesh¹, Fateh Mebarek-Oudina^2,3,4,*, N. Vishnu Ganesh¹, Qasem M. Al-Mdallal⁵, Sami Ullah Khan⁶, Murali Gundagnai⁷, Hillary Muzara⁸

Frontiers in Heat and Mass Transfer, Vol.23, No.4, pp. 1243-1260, 2025, DOI:10.32604/fhmt.2025.066782 - 29 August 2025

Abstract The behavior of buoyancy-driven magnetohydrodynamic (MHD) nanofluid flows with temperature-sensitive viscosity plays a pivotal role in high-performance thermal systems such as electronics cooling, nuclear reactors, and metallurgical processes. This study focuses on the boundary layer flow of a Casson-based sodium alginate Fe₃O₄ nanofluid influenced by magnetic field-dependent viscosity and thermal radiation, as it interacts with a vertically stretching sheet under dissipative conditions. To manage the inherent nonlinearities, Lie group transformations are applied to reformulate the governing boundary layer equations into similarity forms. These reduced equations are then solved via the Spectral Quasi-Linearization Method (SQLM), ensuring high More >

Chinedu Nwaigwe^1,2,*, Abdon Atangana²

FDMP-Fluid Dynamics & Materials Processing, Vol.21, No.5, pp. 1239-1259, 2025, DOI:10.32604/fdmp.2025.059925 - 30 May 2025

Abstract In the early stages of oil exploration, oil is produced through processes such as well drilling. Later, hot water may be injected into the well to improve production. A key challenge is understanding how the temperature and velocity of the injected hot water affect the production rate. This is the focus of the current study. It proposes variable-viscosity mathematical models for heat and water saturation in a reservoir containing Bonny-light crude oil, with the aim of investigating the effects of water temperature and velocity on the recovery rate. First, two sets of experimental data are… More >

Mekonnen S. Ayano^1,*, Thokozani N. Khumalo¹, Stephen T. Sikwila², Stanford Shateyi³

Frontiers in Heat and Mass Transfer, Vol.22, No.4, pp. 1153-1169, 2024, DOI:10.32604/fhmt.2024.048474 - 30 August 2024

Abstract The present paper examines the temperature-dependent viscosity and thermal conductivity of a micropolar silver ()−Magnesium oxide () hybrid nanofluid made of silver and magnesium oxide over a rotating vertical cone, with the influence of transverse magnetic field and thermal radiation. The physical flow problem has been modeled with coupled partial differential equations. We apply similarity transformations to the non-dimensionalized equations, and the resulting nonlinear differential equations are solved using overlapping grid multidomain spectral quasilinearization method. The flow behavior for the fluid is scrutinized under the impact of diverse physical constraints, which are illustrated graphically. The More >

Ahlam Aljabali¹, Abdul Rahman Mohd Kasim^1,*, Nur Syamilah Arifin², Sharena Mohamad Isa³, Noor Amalina Nisa Ariffin¹

CMC-Computers, Materials & Continua, Vol.66, No.1, pp. 675-689, 2021, DOI:10.32604/cmc.2020.012334 - 30 October 2020

Abstract Non-Newtonian is a type of fluid that does not comply with the viscosity under the Law of Newton and is being widely used in industrial applications. These include those related to chemical industries, cosmetics manufacturing, pharmaceutical field, food processing, as well as oil and gas activities. The inability of the conventional equations of Navier–Stokes to accurately depict rheological behavior for certain fluids led to an emergence study for non-Newtonian fluids’ models. In line with this, a mathematical model of forced convective flow on non-Newtonian Eyring Powell fluid under temperature-dependent viscosity (TDV) circumstance is formulated. The… More >

Ahlam Aljabali¹, Abdul Rahman Mohd Kasim^1,*, Nur Syamilah Arifin², Sharena Mohamad Isa³

CMC-Computers, Materials & Continua, Vol.66, No.1, pp. 421-435, 2021, DOI:10.32604/cmc.2020.012322 - 30 October 2020

Abstract The viscosity of a substance or material is intensely influenced by the temperature, especially in the field of lubricant engineering where the changeable temperature is well executed. In this paper, the problem of temperature-dependent viscosity on mixed convection flow of Eyring Powell fluid was studied together with Newtonian heating thermal boundary condition. The flow was assumed to move over a vertical stretching sheet. The model of the problem, which is in partial differential equations, was first transformed to ordinary differential equations using appropriate transformations. This approach was considered to reduce the complexity of the equations. More >