Mathematical Modelling and Applications

Volume 2, Issue 5, October 2017

  • Assessment of the Accuracy of the Multiple-Relaxation-Time Lattice Boltzmann Method for the Simulation of Circulating Flows

    Mohammed Ahmed Boraey

    Issue: Volume 2, Issue 5, October 2017
    Pages: 47-51
    Received: Sep. 23, 2017
    Accepted: Oct. 24, 2017
    Published: Nov. 20, 2017
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    Abstract: The present work investigates the accuracy of the Multiple-relaxation-time Lattice Boltzmann Method (MRT LBM) in the simulation of flows with circulation. The flow in a 2Dlid-driven cavity is simulated using MRT LBM for a wide range of Reynolds numbers (100-1000) to assess its accuracy. The lid-driven cavity flow is selected because it is the stand... Show More
  • Fully Developed Free Convection Flow in a Vertical Slot with Open to Capped Ends: D’Alembert’s Approach

    Basant Kumar Jha, Michael Oluwakayode Oni

    Issue: Volume 2, Issue 5, October 2017
    Pages: 52-56
    Received: Sep. 26, 2017
    Accepted: Oct. 27, 2017
    Published: Nov. 20, 2017
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    Abstract: The fully developed free convection flow in a vertical slot with open to capped ends discussed by Weidman [5] and Magyari [6] is scrutinized in this present work. Exact solution of momentum and energy equations under relevant boundary conditions as discussed in [5, 6] is obtained using the D’Alembert’s method. Numerical comparison of this present w... Show More