International Journal of Applied Mathematics and Theoretical Physics

Volume 3, Issue 1, January 2017

  • Noninertial Freely Falling Frames Affected by Gravitational Tidal Forces

    Steven D. Deines

    Issue: Volume 3, Issue 1, January 2017
    Pages: 1-6
    Received: Aug. 08, 2016
    Accepted: Sep. 23, 2016
    Published: Nov. 09, 2016
    Abstract: It is a major misconception that freely falling reference frames are inertial in a gravitational field. This is one outcome when employing Einstein’s principle of equivalence between a dynamical acceleration and a homogeneous gravity, which does not exist technically in nature, because gravity is radial from all mass centers, even at nearly infinit... Show More
  • A Complex Variable Circle Theorem for Plane Stokes Flows

    N. Akhtar, G. A. H. Chowdhury

    Issue: Volume 3, Issue 1, January 2017
    Pages: 7-13
    Received: Sep. 14, 2016
    Accepted: Nov. 07, 2016
    Published: Dec. 12, 2016
    Abstract: Two dimensional steady Stokes flow around a circular cylinder is examined in the light of complex variable theory and a circle theorem for the flow, are established. The theorem gives a complex variable expression of the velocity for a Stokes flow external to a circular cylinder, in terms of the same variable expression of the velocity for a slow a... Show More
  • Exemplification of Dimensional Analysis via MATLAB® Using Eigen Values

    Kamal Isa Masoud Al-Malah

    Issue: Volume 3, Issue 1, January 2017
    Pages: 14-19
    Received: Oct. 15, 2016
    Accepted: Nov. 02, 2016
    Published: Jan. 18, 2017
    Abstract: In this research article, a set of dimensional physical quantities is transformed into a dimensionless group (or ratio). For a given set of dimensional variables, the physical variables represent the rows and their dimensions represent the columns of a dimensions-matrix. The dimensions-matrix is rearranged both column- and row-wise. The columns are... Show More