Free-convection boundary-layer flow of a non-Newtonian fluid along a vertical wavy surface

✍ Scribed by M. Kumari; I. Pop; H.S. Takhar

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 531 KB
• Volume: 18
• Category: Article
• ISSN: 0142-727X
• DOI: 10.1016/s0142-727x(97)00024-6

✦ Synopsis

A theoretical analysi,.~ of laminar free-convection flow over a vertical isothermal wavy surface in a non-Newtonian power-law fluid is considered. The governing equations are first cast into a nondimensional form by using suitable boundary-layer variables that substract out the effect of the wavy surface from the boundary conditions. The boundary-layer equatiions are then solved numerically by a very efficient implicit finitedifference method known as the Keller-Box method. A sinusoidal surface is used to elucidate the effects of the power-law index, amplitude wavelength, and Prandtl number on the velocity and temperature fields, as well as on the local Nusselt number. It is shown that the local Nusselt number varies periodically along the wavy surface. The wavelength of the local Nusselt number variation is half that of the wavy surface, irrespective of whether the fluid is a Newtonian fluid or a non-Newtonian fluid. Comparisons with earlier works are also made, and the agreement is found to be very good.