Parakapali Roja¹, Shaik Mohammed Ibrahim², Thummala Sankar Reddy³, Giulio Lorenzini^4,*

FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.2, pp. 257-274, 2024, DOI:10.32604/fdmp.2023.042283 - 14 December 2023

Abstract This study examines the behavior of a micropolar nanofluid flowing over a sheet in the presence of a transverse magnetic field and thermal effects. In addition, chemical (first-order homogeneous) reactions are taken into account. A similarity transformation is used to reduce the system of governing coupled non-linear partial differential equations (PDEs), which account for the transport of mass, momentum, angular momentum, energy and species, to a set of non-linear ordinary differential equations (ODEs). The Runge-Kutta method along with shooting method is used to solve them. The impact of several parameters is evaluated. It is shown More >

Hamzeh Taha Alkasasbeh^1,*, Muhammad Khairul Anuar Mohamed²

Frontiers in Heat and Mass Transfer, Vol.21, pp. 265-279, 2023, DOI:10.32604/fhmt.2023.041539 - 30 November 2023

Abstract The present study numerically investigates the flow and heat transfer of porous Williamson hybrid nanofluid on an exponentially shrinking sheet with magnetohydrodynamic (MHD) effects. The nonlinear partial differential equations which governed the model are first reduced to a set of ordinary differential equations by using the similarity transformation. Next, the BVP4C solver is applied to solve the equations by considering the pertinent fluid parameters such as the permeability parameter, the magnetic parameter, the Williamson parameter, the nanoparticle volume fractions and the wall mass transfer parameter. The single (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) nanoparticles are More >

U. S. Mahabaleshwar¹, T. Anusha^1,*, M. EL Ganaoui², R. Bennacer³

FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.4, pp. 929-939, 2023, DOI:10.32604/fdmp.2022.021996 - 02 November 2022

Abstract The impacts of radiation, mass transpiration, and volume fraction of carbon nanotubes on the flow of a Newtonian fluid past a porous stretching/shrinking sheet are investigated. For this purpose, three types of base liquids are considered, namely, water, ethylene glycol and engine oil. Moreover, single and multi-wall carbon nanotubes are examined in the analysis. The overall physical problem is modeled using a system of highly nonlinear partial differential equations, which are then converted into highly nonlinear third order ordinary differential equations via a suitable similarity transformation. These equations are solved analytically along with the corresponding More > Graphic Abstract

A. B. Vishalakshi¹, U. S. Mahabaleshwar^1,*, M. EL. Ganaoui², R. Bennacer³

FDMP-Fluid Dynamics & Materials Processing, Vol.18, No.5, pp. 1551-1567, 2022, DOI:10.32604/fdmp.2022.021949 - 27 May 2022

Abstract This paper is devoted to the analysis of the heat transfer and Navier’s slip effects in a non-Newtonian Jeffrey fluid flowing past a stretching/shrinking sheet. The nanoparticles, namely, Cu and Al₂O₃ are used with a water-based fluid with Prandtl number 6.272. Velocity slip flow is assumed to occur when the characteristic size of the flow system is small or the flow pressure is very small. By using the similarity transformations, the governing nonlinear PDEs are turned into ordinary differential equations (ODE’s). Analytical results are presented and analyzed for various values of physical parameters: Prandtl number, Radiation… More >

Iskandar Waini^1,2, Anuar Ishak^2,*, Ioan Pop³

CMC-Computers, Materials & Continua, Vol.68, No.3, pp. 3255-3269, 2021, DOI:10.32604/cmc.2021.017643 - 06 May 2021

Abstract This study examines the stagnation point flow over a stretching/shrinking sheet in a hybrid nanofluid with homogeneous-heterogeneous reactions. The hybrid nanofluid consists of copper (Cu) and alumina (Al₂O₃) nanoparticles which are added into water to form Cu-Al₂O₃/water hybrid nanofluid. The similarity equations are obtained using a similarity transformation. Then, the function bvp4c in MATLAB is utilised to obtain the numerical results. The dual solutions are found for limited values of the stretching/shrinking parameter. Also, the turning point arises in the shrinking region (λ < 0). Besides, the presence of hybrid nanoparticles enhances the heat transfer rate,… More >

Liaquat Ali Lund^1,2, Zurni Omar¹, Sumera Dero^1,3, Yuming Chu^4,5, Ilyas Khan^6,*, Kottakkaran Sooppy Nisar⁷

CMC-Computers, Materials & Continua, Vol.66, No.2, pp. 1963-1975, 2021, DOI:10.32604/cmc.2020.011976 - 26 November 2020

Abstract The unsteady magnetohydrodynamic (MHD) flow on a horizontal preamble surface with hybrid nanoparticles in the presence of the first order velocity and thermal slip conditions are investigated. Alumina (Al₂O₃) and copper (Cu) are considered as hybrid nanoparticles that have been dispersed in water in order to make hybrid nanofluid (Cu − Al₂O₃/water). The system of similarity equations is derived from the system of partial differential equations (PDEs) by using variables of similarity, and their solutions are gotten with shooting method in the Maple software. In certain ranges of unsteadiness and magnetic parameters, the presence of dual solutions More >

Liaquat Ali Lund^1,2,*, Zurni Omar¹, Ilyas Khan³, El-Sayed M. Sherif^4,5

CMC-Computers, Materials & Continua, Vol.66, No.1, pp. 127-139, 2021, DOI:10.32604/cmc.2020.013120 - 30 October 2020

Abstract In this study, magnetohydrodynamic (MHD) three-dimensional (3D) flow of alumina (Al₂O₃) and copper (Cu) nanoparticles of an electrically conducting incompressible fluid in a rotating frame has been investigated. The shrinking surface generates the flow that also has been examined. The single-phase (i.e., Tiwari and Das) model is implemented for the hybrid nanofluid transport phenomena. Results for alumina and copper nanomaterials in the water base fluid are achieved. Boundary layer approximations are used to reduce governing partial differential (PDEs) system into the system of the ordinary differential equations (ODEs). The three-stage Lobatto IIIa method in bvp4c solver is More >

Izyan Syazana Awaludin^{1, 2}, Anuar Ishak^2,*, Ioan Pop³

CMES-Computer Modeling in Engineering & Sciences, Vol.120, No.1, pp. 203-214, 2019, DOI:10.32604/cmes.2019.06594

Abstract The present study considers the magnetohydrodynamic (MHD) stagnation point flow with chemical reaction effect over a permeable stretching/shrinking sheet. The partial differential equations are reduced to a set of ordinary differential equations using a similarity transformation. The transformed equations are then solved numerically by employing the bvp4c function available in the MATLAB software. The numerical results illustrate the effects of several parameters on the skin friction coefficient, local Nusselt number and the local Sherwood number. Dual solutions are obtained for a certain range of parameters. The temporal stability analysis is carried out to determine which More >

Astick Banerjee^a , Aurang Zaib^b , Krishnendu Bhattacharyya^c,* , S.K. Mahato^d

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-8, 2018, DOI:10.5098/hmt.10.30

Abstract The magnetohydrodynamic (MHD) mixed convection heat transfer in a non-Newtonian Powell-Erying fluid flow due to an exponentially shrinking porous sheet is investigated. Both assisting and opposing flows are considered. After use of the suitable transformations, the governing equations become non-similar ODEs. Numerical computations of resulting equations are obtained by very efficient shooting method for several values of involved parameters. The results exhibit that dual non-similar solutions can be found only when some amount of fluid mass is sucked from the flow field through the porous sheet. Many important results on the effect of external magnetic More >

M.S. Abdelmeguid^*

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-8, 2017, DOI:10.5098/hmt.8.28

Abstract In this paper, the effects of suction/blowing and thermal radiation on a hydromagnetic viscous fluid over a non-linear stretching and shrinking sheet are investigated. A similarity transformation is used to reduce the governing equations to a set of nonlinear ordinary differential equations. The system of equations is solved analytically employing homotopy analysis method (HAM). Convergence of the HAM solution is checked. The resulting similarity equations are solved numerically using Matlab bvp4c numerical routine. It is found that dual solutions exist for this particular problem. The comparison of analytical solution and numerical solution for the velocity More >