Department of Mathematics

Permanent URI for this communityhttps://repository.cuilahore.edu.pk/handle/123456789/21

Browse

Filters

2016 - 20193

Settings

Author: search.filters.author.Dr. Mohsan Hassan, Assistant ProfesorSubject: search.filters.subject.department of mathematics

Search Results

Now showing 1 - 3 of 3
  • No Thumbnail Available
    Item
    Coupled Parallel Fluid Flow in Porous Medium Adjacent to Free Flow Domain
    (Library Information Services, COMSATS University, Lahore Campus, 2019) Ifrah Tehreem; , SP17-RMT-023; Dr. Mohsan Hassan, Assistant Profesor; LHR TP 5746
    Fluid flow through a partially filled porous channel, in which porous layer is considered at center of the channel bounded by free flow regions. Fluid flow over a partially filled porous channel is directed by different types of mathematical model with various kinds of boundary conditions at interface. In chapter 2, we consider the fluid flow through fluid-porous channel in which the flow in free region is governed by Stokes equation and Darcy-Forchheimer model. At interface, we assume the velocity for the free fluid is proportional to the shear rate of the permeable region. In this chapter, we examined the effects of the Darcy number, interfacial velocity slip coefficient and Knudsen number on the velocity distribution. In chapter 3, we consider the same channel in which porous media, but here mathematical model is govern by Stokes equation for free region and Brinkman model for porous region. In addition, at the interface, we use the continuity condition of velocity and shear stress with jump effect to find the fluid flow behavior through the channel. In this case, the effect of different values of Darcy number on the velocity distribution is analyzed and compare with the results of Chapter 2.
  • No Thumbnail Available
    Item
    Solution of Differential Equations by Lindstedt Poincare Techniques
    (Library Information Services, COMSATS University, Lahore Campus, 2016) Shakeel Tariq,; FA14-BSM-003 Contributor(s): Dr. Mohsan Hassan, Assistant Profesor [Supervisor]; Dr. Mohsan Hassan, Assistant Profesor
    Many of the problems facing physicists, engineers, and applied mathematicians involve such difficulties as nonlinear boundary conditions at complex known or unknown boundaries that preclude solving them exactly. Consequently, solutions are approximated using numerical techniques, analytic techniques, and combinations of both. Foremost among the analytic techniques are the systematic methods of perturbations (asymptotic expansions) in terms of a small or a large parameter or coordinate. Although the techniques are described by means of examples that start with simple ordinary equations that can be solved exactly and progress toward complex partial-differential equations, the material is concise and advanced and therefore is intended for researchers and advanced graduate students only. The purpose of this techniques, however, is to present the material in an elementary way that makes it easily accessible to advanced undergraduates and first-year graduate students in a wide variety of scientific and engineering fields. As a result of teaching perturbation methods for eight years to first-year and advanced graduate students at Virginia Poly-techniques and amplified their description considerably. The techniques are described by means of simple examples that consist mainly of algebraic and ordinary-differential equations. The material in Chapters 1 and 2 is about solution of differential equations by different perturbation Methods. Chapter 1 discusses “The Straightforward Expansions” method.
  • No Thumbnail Available
    Item
    Off-Centerd Stagnattion Point Flow Of Viscous Flu
    (Library Information Services, COMSATS University, Lahore Campus, 2019) Umer Zahid,; FA17-RMT-009; Dr. Mohsan Hassan, Assistant Profesor; LHR TP 5647
    The present work is concerned with the modeling and analysis of off-centered stagnation point flow of viscous fluid towards a rotating disc. The governing non-linear equations and their associated boundary conditions are transformed into ordinary differential equations by utilizing an appropriate similarity transformation. A BVPh 2.0, a HAM-based mathematica package is use to evaluate the analytical solution. The effects of pertaining parameter on radial, azimuthal and induced velocities components of the fluid flow are presented graphically and discussed. Moreover, comparisons have also been made with the previous results as a special case.