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  • Open Access


    Hydromagnetic Nanofluid Film Flow over a Stretching Sheet with Prescribed Heat Flux and Viscous Dissipation

    Nourhan I. Ghoneim1,*, Ahmed M. Megahed2

    FDMP-Fluid Dynamics & Materials Processing, Vol.18, No.5, pp. 1373-1388, 2022, DOI:10.32604/fdmp.2022.020509

    Abstract Thermal radiative heat transfer through a thin horizontal liquid film of a Newtonian nanofluid subjected to a magnetic field is considered. The physical boundary conditions are a variable surface heat flux and a uniform concentration along the sheet. Moreover, viscous dissipation is present and concentration is assumed to be influenced by both thermophoresis and Brownian motion effects. Using a similarity method to turn the underlying Partial differential equations into a set of ordinary differential equations (ODEs) and a shooting technique to solve these equations, the skin-friction coefficient, the Nusselt number, and the Sherwood number are determined. Among other things, it… More >

  • Open Access


    MHD and Viscous Dissipation Effects in Marangoni Mixed Flow of a Nanofluid over an Inclined Plate in the Presence of Ohmic Heating

    D. R. V. S. R. K. Sastry1, Peri K. Kameswaran2, Mohammad Hatami3,*

    FDMP-Fluid Dynamics & Materials Processing, Vol.17, No.2, pp. 285-300, 2021, DOI:10.32604/fdmp.2021.014429

    Abstract The problem of Marangoni mixed convection in the presence of an inclined magnetic field with uniform strength in a nanofluid (formed by the dispersion of two metallic nanoparticles, i.e., Copper (Cu), and alumina (Al2O3) in water) is addressed numerically. The effects of viscous dissipation and Ohmic heating are also considered. The original set of governing partial differential equations is reduced to a set of non-linear coupled ordinary differential equations employing the similarity transformation technique. The simplified equations are numerically solved through MATLAB ‘bvp4c’ algorithm. The results are presented in terms of graphs for several parameters. It is found that enhancing… More >

  • Open Access


    Effects of Combined Heat and Mass Transfer on Entropy Generation due to MHD Nanofluid Flow over a Rotating Frame

    F. Mabood1, T. A. Yusuf2, A. M. Rashad3, W. A. Khan4,*, Hossam A. Nabwey5,6

    CMC-Computers, Materials & Continua, Vol.66, No.1, pp. 575-587, 2021, DOI:10.32604/cmc.2020.012505

    Abstract The current investigation aims to explore the combined effects of heat and mass transfer on free convection of Sodium alginate-Fe3O4 based Brinkmann type nanofluid flow over a vertical rotating frame. The Tiwari and Das nanofluid model is employed to examine the effects of dimensionless numbers, including Grashof, Eckert, and Schmidt numbers and governing parameters like solid volume fraction of nanoparticles, Hall current, magnetic field, viscous dissipation, and the chemical reaction on the physical quantities. The dimensionless nonlinear partial differential equations are solved using a finite difference method known as Runge-Kutta Fehlberg (RKF-45) method. The variation of dimensionless velocity, temperature, concentration,… More >

  • Open Access


    Numerical Treatment of MHD Flow of Casson Nanofluid via Convectively Heated Non-Linear Extending Surface with Viscous Dissipation and Suction/Injection Effects

    Hammad Alotaibi1,*, Saeed Althubiti1, Mohamed R. Eid2,3, K. L. Mahny4

    CMC-Computers, Materials & Continua, Vol.66, No.1, pp. 229-245, 2021, DOI:10.32604/cmc.2020.012234

    Abstract This paper introduces the effect of heat absorption (generation) and suction (injection) on magnetohydrodynamic (MHD) boundary-layer flow of Casson nanofluid (CNF) via a non-linear stretching surface with the viscous dissipation in two dimensions. By utilizing the similarity transformations, the leading PDEs are transformed into a set of ODEs with adequate boundary conditions and then resolved numerically by (4–5)th-order Runge-Kutta Fehlberg procedure based on the shooting technique. Numerical computations are carried out by Maple 15 software. With the support of graphs, the impact of dimensionless control parameters on the nanoparticle concentration profiles, the temperature, and the flow velocity are studied. Other… More >

  • Open Access


    Dual Branches of MHD Three-Dimensional Rotating Flow of Hybrid Nanofluid on Nonlinear Shrinking Sheet

    Liaquat Ali Lund1,2,*, Zurni Omar1, Ilyas Khan3, El-Sayed M. Sherif4,5

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

    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 applied for solutions… More >

  • Open Access


    Exact Analysis of Non-Linear Fractionalized Jeffrey Fluid. A Novel Approach of Atangana-Baleanu Fractional Model

    Saqib Murtaza1, Farhad Ali1, Aamina2, 3, *, Nadeem Ahmad Sheikh1, Ilyas Khan4, Kottakkaran Sooppy Nisar5

    CMC-Computers, Materials & Continua, Vol.65, No.3, pp. 2033-2047, 2020, DOI:10.32604/cmc.2020.011817

    Abstract It is a very difficult task for the researchers to find the exact solutions to mathematical problems that contain non-linear terms in the equation. Therefore, this article aims to investigate the viscous dissipation (VD) effect on the fractional model of Jeffrey fluid over a heated vertical flat plate that suddenly moves in its own plane. Based on the Atangana-Baleanu operator, the fractional model is developed from the fractional constitutive equations. VD is responsible for the non-linear behavior in the problem. Upon taking the Laplace and Fourier sine transforms, exact expressions have been obtained for momentum and energy equations. The influence… More >

  • Open Access


    Conjugate Heat Transfer of Forced Convection with Viscous Dissipation for Visco-Elastic Fluid Past a Flat Plate Fin

    Kai-Long Hsiao1, Cheng-Hsing Hsu2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.9, No.1, pp. 3-22, 2009, DOI:10.3970/icces.2009.009.003

    Abstract A conjugate forced convection with viscous dissipation heat transfer problem of a second-grade visco-elastic fluid past a flat plate fin has been studied. Governing equations include heat conduction equation of the fin, and continuity equation, momentum equation and energy equation of the fluid, were analyzed by a combination of a series expansion method, the similarity transformation and a second-order accurate finite-difference method. Solutions of a stagnation flow (β = 1.0) at the fin tip and a flat plate shape (wedge flow β = 0.0) on the fin surface were obtained by a generalized Falkner-Skan flow derivation. These solutions were used… More >

  • Open Access


    Primary and Secondary Flows on Unsteady MHD Free Convective Micropolar Fluid Flow Past an Inclined Plate in a Rotating System: a Finite Element Analysis

    M. D. Shamshuddin1, *, P. V. Satya Narayana2

    FDMP-Fluid Dynamics & Materials Processing, Vol.14, No.1, pp. 57-86, 2018, DOI:10.3970/fdmp.2018.014.057

    Abstract In the present paper, a numerical analysis is performed to study the primary and secondary flows of a micropolar fluid flow past an inclined plate with viscous dissipation and thermal radiation in a rotating frame. A uniform magnetic field of strength Bo is applied normal to the plane of the plate. The whole system rotates with uniform angular velocity about an axis normal to the plate. The governing partial differential equations are transformed into coupled nonlinear partial differential equations by using the appropriate dimensionless quantities. The resulting equations are then solved by the Galerkin finite element method. The influencing pertinent… More >

  • Open Access


    Unsteady MHD Free Convection Past an Impulsively Started Isothermal Vertical Plate with Radiation and Viscous Dissipation

    Hawa Singh1, Paras Ram2, Vikas Kumar3

    FDMP-Fluid Dynamics & Materials Processing, Vol.10, No.4, pp. 521-550, 2014, DOI:10.3970/fdmp.2014.010.521

    Abstract The fluctuating flow produced by magneto - hydrodynamic free convection past an impulsively started isothermal vertical plate is studied taking into account the effects of radiation and viscous dissipation. By using the similarity transformation, the governing equations are transformed into dimensionless form and then the system of nonlinear partial differential equations is solved by a perturbation technique. The considered uniform magnetic field acts perpendicular to the plate, which absorbs the fluid with a given suction velocity. A comparison is made in velocity and temperature profiles for two particular cases of real and imaginary time dependent functions. The effects of various… More >

  • Open Access


    Magnetohydrodynamic Flow and Heat Transfer of an Upper-Convected Maxwell Fluid Due to a Stretching Sheet

    R. C. Bataller1

    FDMP-Fluid Dynamics & Materials Processing, Vol.7, No.2, pp. 153-174, 2011, DOI:10.3970/fdmp.2011.007.153

    Abstract We present a numerical study of the flow and heat transfer of an incompressible upper-convected Maxwell (UCM) fluid in the presence of an uniform transverse magnetic field over a porous stretching sheet taking into account suction at the surface as well as viscous dissipation and thermal radiation effects. Selected similarity analyses have been carried out by means of a numerical implementation. The effects on the velocity and temperature fields over the sheet of the parameters like elasticity number, suction velocity, magnetic parameter, radiation parameter, Prandtl number and Eckert number are also analyzed. More >

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