KU ScholarWorks

  • myKU
  • Email
  • Enroll & Pay
  • KU Directory
    • Login
    View Item 
    •   KU ScholarWorks
    • Dissertations and Theses
    • Theses
    • View Item
    •   KU ScholarWorks
    • Dissertations and Theses
    • Theses
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Investigation of More Complete Constitutive Theories for Heat Conduction in Solids and for Deviatoric Stress Tensor in Incompressible Fluids

    Thumbnail
    View/Open
    Kedari_ku_0099M_14930_DATA_1.pdf (1.362Mb)
    Issue Date
    2016-12-31
    Author
    Kedari, Sayali Ravindra
    Publisher
    University of Kansas
    Format
    79 pages
    Type
    Thesis
    Degree Level
    M.S.
    Discipline
    Mechanical Engineering
    Rights
    Copyright held by the author.
    Metadata
    Show full item record
    Abstract
    This thesis presents numerical studies utilizing more complete constitutive theories for: (i) Heat vector in isotropic, homogeneous, incompressible, elastic solid continua and (ii) Deviatoric stress tensor for isotropic, homogeneous, incompressible, viscous fluids without memory. The derivation of the constitutive theories for heat vector in Lagrangian description for solid continua and for deviatoric stress tensor for incompressible fluent continua without memory in Eulerian description, using theory of generators and invariants, have been presented by Surana, Reddy, Eringen. These theories utilize integrity i.e. complete basis, hence are complete. A serious shortcoming of these theories is that they require too many material coefficients that must be determined experimentally. Due to the lack of availability of the material coefficients, these theories have not been used commonly in applications, instead their simplified forms requiring fewer material coefficients are currently being used. The purpose of this investigation is to study the influence of additional terms in the more complete constitutive theories derived using integrity that are routinely neglected to examine the influence of the additional physics that is introduced in the constitutive theories by their presence and their impact in applications. In specific, the first study focuses on constitutive theory for heat conduction in Lagrangian description for solid continua in which the argument tensors of heat vector are temperature gradient and temperature and the constitutive theory for heat vector is based on integrity and is derived using theory of generators and invariants. The second study considers incompressible, viscous fluids without memory in which the constitutive theory for the deviatoric Cauchy stress tensor is also based on theory of generators and invariants in which symmetric part of velocity gradient tensor and its square are combined generators of its argument tensors. 1D transient heat conduction in a rod, fully developed flow between parallel plates, square lid driven cavity and asymmetric expansion are used as model problems to illustrate the significance of the newer constitutive theories considered here.
    URI
    http://hdl.handle.net/1808/24136
    Collections
    • Theses [3221]

    Items in KU ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.


    We want to hear from you! Please share your stories about how Open Access to this item benefits YOU.


    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

    Browse

    All of KU ScholarWorksCommunities & CollectionsThis Collection

    My Account

    LoginRegister

    Statistics

    View Usage Statistics

    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

      Contact KU ScholarWorks
    Lawrence, KS | Maps
     
    • Academics
    • Admission
    • Alumni
    • Athletics
    • Campuses
    • Giving
    • Jobs

    The University of Kansas prohibits discrimination on the basis of race, color, ethnicity, religion, sex, national origin, age, ancestry, disability, status as a veteran, sexual orientation, marital status, parental status, gender identity, gender expression and genetic information in the University’s programs and activities. The following person has been designated to handle inquiries regarding the non-discrimination policies: Director of the Office of Institutional Opportunity and Access, IOA@ku.edu, 1246 W. Campus Road, Room 153A, Lawrence, KS, 66045, (785)864-6414, 711 TTY.

     Contact KU
    Lawrence, KS | Maps