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  • Open Access

    ARTICLE

    INFLUENCE OF CONVECTIVE BOUNDARY CONDITION ON NONLINEAR THERMAL CONVECTION FLOW OF A MICROPOLAR FLUID SATURATED POROUS MEDIUM WITH HOMOGENEOUS-HETEROGENEOUS REACTIONS

    Chetteti RamReddya,†, Teegala Pradeepaa

    Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-10, 2017, DOI:10.5098/hmt.8.6

    Abstract A numerical approach has been used to analyze the effects of homogeneous-heterogeneous reaction and nonlinear density temperature variation over a vertical plate in an incompressible micropolar fluid flow saturated Darcy porous medium. In addition, convective boundary condition is incorporated in a micropolar fluid model. The similarity representation for the set of partial differential equations is attained by applying Lie group transformations. The resulting non-dimensional equations are worked out numerically by spectral quasi-linearization method. Less temperature and wall couple stress coefficient, but more velocity, skin friction, species concentration, and heat transfer rate are noticed by enhancing the nonlinear convection parameter. It… More >

  • Open Access

    ARTICLE

    MICROPOLAR FLUID FLOW OVER A NONLINEAR STRETCHING CONVECTIVELY HEATED VERTICAL SURFACE IN THE PRESENCE OF CATTANEO-CHRISTOV HEAT FLUX AND VISCOUS DISSIPATION

    Machireddy Gnaneswara Reddya,*, Gorla Rama Subba Reddyb

    Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-9, 2017, DOI:10.5098/hmt.8.20

    Abstract The objective of the present communication is to study the problem of micropolar fluid flow with temperature dependent thermal conductivity over a nonlinear stretching convective vertical surface in the presence of Lorentz force and viscous dissipation. Due to the nature of heat transfer in the flow past vertical surface, Cattaneo-Christov heat flux model and Joule heating effects are properly accommodated in the energy equation. The governing partial differential equations for the flow and heat transfer are converted into a set of ordinary differential equations by employing the acceptable similarity transformations. Runge-Kutta and Newton’s methods are utilized to resolve the altered… More >

  • Open Access

    ARTICLE

    EFFECT OF CATTANEO-CHRISTOV HEAT FLUX ON NONLINEAR RADIATIVE MHD FLOW OF CASSON FLUID INDUCED BY A SEMIINFINTE STRETCHING SURFACE

    M. Sathish Kumara , N. Sandeepa,*, B. Rushi Kumara , J. Prakashb

    Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-8, 2017, DOI:10.5098/hmt.8.8

    Abstract In this study, a numerical investigation is performed to analyse the flow and heat transfer characteristic of magnetohydrodynamic Casson fluid flow past a semi-infinite stretching surface in the presence of Cattaneo – Christov heat flux and nonlinear thermal radiation. Appropriate transformations are employed to reduce the governing partial differential equations into ordinary differential equations. Further, solutions of the ordinary differential equation are obtained with the aid of Runge- Kutta based shooting technique. The effect of various non- dimensional governing parameters on velocity and temperature fields for suction and injection cases are discussed with the help of graphs. Also computed and… More >

  • Open Access

    ARTICLE

    A LARGE PARAMETER SPECTRAL PERTURBATION METHOD FOR NONLINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS THAT MODELS BOUNDARY LAYER FLOW PROBLEMS

    T. M. Agbajea,b, S. S. Motsaa,* , S. Mondalc,† , P. Sibandaa

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-13, 2017, DOI:10.5098/hmt.9.36

    Abstract In this work, we present a compliment of the spectral perturbation method (SPM) for solving nonlinear partial differential equations (PDEs) with applications in fluid flow problems. The (SPM) is a series expansion based approach that uses the Chebyshev spectral collocation method to solve the governing sequence of differential equation generated by the perturbation series approximation. Previously the SPM had the limitation of being used to solve problems with small parameters only. This current investigation seeks to improve the performance of the SPM by doing the series expansion about a large parameter. The new method namely the large parameter spectral perturbation… More >

  • Open Access

    ARTICLE

    NONLINEAR CONVECTIVE TRANSPORT ALONG AN INCLINED PLATE IN NON-DARCY POROUS MEDIUM SATURATED BY A MICROPOLAR FLUID WITH CONVECTIVE BOUNDARY CONDITION

    Ch. RamReddy , P. Naveen, D. Srinivasacharya

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-10, 2017, DOI:10.5098/hmt.9.35

    Abstract The role of nonlinear variation of density with temperature (NDT) and concentration (NDC) on the free convective flow of non-Darcy micropolar fluid over an inclined plate has been studied for the first time. In addition, the modified form of thermal slip and isothermal condition is utilized to address heat transfer phenomena in nuclear plants, textile drying, and heat exchangers, etc. The respective partial differential equations and boundary conditions are cast into a sequence of the ordinary differential equation by the local non-similarity technique. The remodeled equations are simplified numerically by applying a successive linearization method (SLM). A constructive investigation emphasizing… More >

  • Open Access

    ARTICLE

    EFFECT OF NONLINEAR THERMAL RADIATION ON MAGNETOHYDRODYNAMIC WALL JET FLOW

    M. Sathish Kumar, N. Sandeep* , B. Rushi Kumar

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-6, 2017, DOI:10.5098/hmt.9.10

    Abstract An analysis is presented to analyze the momentum and heat transfer behaviour of the laminar wall jet flow of a hydromagnetic flow due to plate with nonlinear thermal radiation and convective boundary condition. The governing Partial differential equations are converted as ordinary differential equations with the aid of similarity transformation. Further, the transformed equation is resolved using the bvc5c Matlab package. The effect of various pertinent parameters on momentum and temperature fields along with the local Nusselt number is discussed with the help of numerical and graphical illustrations. It is found that the Biotnumbereffectively enhances the heat transfer rate. More >

  • Open Access

    ARTICLE

    NON-LINEAR RADIATIVE FLOW OF NANOFLUID PAST A MOVING/STATIONARY RIGA PLATE

    G.K. Ramesha,*, B.J. Gireeshab

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-7, 2017, DOI:10.5098/hmt.9.3

    Abstract The effect of non-linear thermal radiation on nanofluid flow over a riga plate is studied. Under some conditions, our problem reduces to the Blasius problem and Sakiadis problem. Similarity transformation is used to convert the governing steady Navier-Stokes equations into a system of coupled nonlinear differential equations, which are then solved numerically via Runge-Kutta-Fehlberg 45 order method along with a shooting method. Influence of parameters involved on velocity, temperature and concentration profiles is discussed with the help of graphical aid. Numerical results have been presented on the skin-friction coefficients, local Nusselt number and Sherwood number. It is found that in… More >

  • Open Access

    ARTICLE

    NONLINEAR RADIATIVE HEAT TRANSFER TO CARREAU FLUID OVER A NONLINEAR STRETCHING SHEET IN A POROUS MEDIUM IN THE PRESENCE OF NON-UNIFORM HEAT SOURCE/SINK AND VISCOUS DISSIPATION

    M. Umeshaiah1 , M. R. Krishnamurthy2 , N.G. Rudraswamy3 , B. J. Gireesha4, B.C. Prasannakumara5,*

    Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.4

    Abstract This article presents the effect of nonlinear thermal radiation on boundary layer flow and heat transfer of Carreau fluid model over a nonlinear stretching sheet embedded in a porous medium in the presence of non-uniform heat source/sink and viscous dissipation with convective boundary condition. The governing partial differential equations with the corresponding boundary conditions are reduced to a set of ordinary differential equations using similarity transformation, which is then solved numerically by the fourth-fifth order Runge–Kutta-Fehlberg integration scheme featuring a shooting technique. The influence of significant parameters such as power law index parameter, Stretching parameter, Weissenberg number, permeability parameter, temperature… More >

  • Open Access

    REVIEW

    Deep Learning Applied to Computational Mechanics: A Comprehensive Review, State of the Art, and the Classics

    Loc Vu-Quoc1,*, Alexander Humer2

    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.2, pp. 1069-1343, 2023, DOI:10.32604/cmes.2023.028130

    Abstract Three recent breakthroughs due to AI in arts and science serve as motivation: An award winning digital image, protein folding, fast matrix multiplication. Many recent developments in artificial neural networks, particularly deep learning (DL), applied and relevant to computational mechanics (solid, fluids, finite-element technology) are reviewed in detail. Both hybrid and pure machine learning (ML) methods are discussed. Hybrid methods combine traditional PDE discretizations with ML methods either (1) to help model complex nonlinear constitutive relations, (2) to nonlinearly reduce the model order for efficient simulation (turbulence), or (3) to accelerate the simulation by predicting certain components in the traditional… More >

  • Open Access

    ARTICLE

    Numerical Approach to Simulate the Effect of Corrosion Damage on the Natural Frequency of Reinforced Concrete Structures

    Amthal Hakim1, Wael Slika1,*, Rawan Machmouchi1, Adel Elkordi2

    Structural Durability & Health Monitoring, Vol.17, No.3, pp. 175-194, 2023, DOI:10.32604/sdhm.2022.023027

    Abstract Corrosion of reinforcing steel in concrete elements causes minor to major damage in different aspects. It may lead to spalling of concrete cover, reduction of section’s capacity and can alter the dynamic properties. For the dynamic properties, natural frequency is to be a reliable indicator of structural integrity that can be utilized in non-destructive corrosion assessment. Although the correlation between natural frequency and corrosion damage has been reflected in different experimental programs, few attempts have been made to investigate this relationship in forward modeling and/or structural health monitoring techniques. This can be attributed to the limited available data, the complex… More >

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