American Journal of Applied Mathematics

Volume 3, Issue 1, January 2015

  • Effects of Aspect Ratios on Flow Friction and Thermal Behavior Inside a Close Domain Using Lattice Boltzmann Method

    M. A. Taher, Litan Kumar Saha, Y. W. Lee

    Issue: Volume 3, Issue 1-1, January 2015
    Pages: 1-7
    Received: Nov. 11, 2014
    Accepted: Nov. 12, 2014
    Published: Nov. 29, 2014
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    This article belongs to the Special Issue Fluid Flow and Heat Transfer Inside a Closed Domain
    Abstract: Numerical study of flow friction and thermal behavior on a moving lid of a triangular cavity with various aspect ratios has been discussed using a Thermal Lattice Boltzmann Method (TLBM). To analyze the combined force and free convection, known as mixed convection, flows and heat transfer process in a lid driven triangular cavity with various aspec... Show More
  • Hydro-Magnetic Mixed Convection Flow in a Lid-Driven Cavity with Wavy Bottom Surface

    Litan Kumar Saha, Monotos Chandra Somadder, Nepal Chandra Roy

    Issue: Volume 3, Issue 1-1, January 2015
    Pages: 8-19
    Received: Nov. 11, 2014
    Accepted: Nov. 12, 2014
    Published: Nov. 29, 2014
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    This article belongs to the Special Issue Fluid Flow and Heat Transfer Inside a Closed Domain
    Abstract: Mixed convection flow in the presence of magnetic field is examined in a lid-driven cavity with wavy bottom surface. The magnetic field is applied in perpendicular direction to the cavity. Moreover, the cavity is heated from top while the bottom surface is taken as a wavy pattern. The vertical walls of the cavity are adiabatic. The governing equati... Show More
  • Effect of Internal Heat Generation or Absorption on MHD Mixed Convection Flow in a Lid Driven Cavity

    Litan Kumar Saha, K. M. Salah Uddin, M. A. Taher

    Issue: Volume 3, Issue 1-1, January 2015
    Pages: 20-29
    Received: Nov. 11, 2014
    Accepted: Nov. 12, 2014
    Published: Nov. 29, 2014
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    This article belongs to the Special Issue Fluid Flow and Heat Transfer Inside a Closed Domain
    Abstract: In the present study the problem of mixed convection flow in the presence of magnetic field in a lid-driven square cavity with internal heat generation or absorption and uniform heating of bottom wall were investigated numerically. The square cavity vertical walls are maintained at cold temperature while the upper wall is insulated. The physical pr... Show More
  • Numerical Solutions of 2-D Incompressible Driven Cavity Flow with Wavy Bottom Surface

    K. M. Salah Uddin, Litan Kumar Saha

    Issue: Volume 3, Issue 1-1, January 2015
    Pages: 30-42
    Received: Nov. 15, 2014
    Accepted: Nov. 26, 2014
    Published: Dec. 27, 2014
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    This article belongs to the Special Issue Fluid Flow and Heat Transfer Inside a Closed Domain
    Abstract: In the present numerical study is devoted to investigate the lid-driven cavity flow with wavy bottom surface. The cavity upper wall is moving with a uniform velocity by unity and the other walls are no-slip. The physical problem is represented mathematically by a set of governing equations and the developed mathematical model is solved by employing... Show More