The fact that most fluids in nature do no obey Navier-Stokes eqs. manifests engineering & industrial importance of non-Newtonian fluids. The 2nd and 3rd grade fluids which form a subclass of differential type fluids can predict shear thinning and thickening properties but lack other feathers such as stress relaxation and retardation. Maxwell and Oldroyd-B fluids models which are viscoelastic rate type fluids can show relaxation and retardation phenomena. Burgers' fluid which is a viscoelastic fluid model includes an Oldroyd-B, Maxwell and Newtonian fluid models as special cases. Unlike Maxwell & Oldroyd-B models, it involves the stress being differentiated twice w.r.t. upper convected derivative. It turns out that in general we need additional conditions. This issue crops up with regards to several non-Newtonian fluid models. This thesis, hence, provides a new metric of success for non-Newtonian fluids, supplemental to the viscoelastic fluids analysis. The results & analysis should help shed some light on new directions, and should be especially useful to workers who may be considering MHD flows and heat transfer problems.
AutorMuhammad Afzal Rana
Steady MHD flow and heat transfer of Burgers' fluid