000 02129aab a2200205 4500
008 240104b1989 |||mr||| |||| 00| 0 eng d
022 _a0017-9310
100 _aEbadian, M.A.
_9860247
100 _aZhang, H.Y.
_9840289
245 _aAn Exact Solution of Extended Graetz Problem with Axial Heat Conduction
300 _a1709-1717 p.
520 _aThe convective heat transfer properties of a hydrodynamically, fully developed viscous flow in a circular tube are analyzed without using any simplified assumption such as low Reynolds numbers or Peclet numbers. The pipe is then subjected to a step-change in wall temperature. A straightforward approach using the Fourier transform technique is utilized to obtain analytical expressions for temperature distribution, heat flux, and Nusselt numbers. The effects of axial heat conduction are included in these expressions in both the upstream and the downstream directions for Peclet numbers ranging from 0 to ∞. By first taking the Fourier transform of the temperature field and expanding the coefficients of the transformed temperature in terms of the Peclet number, the energy equation with discontinuous wall temperature and longitudinal heat conduction is transformed into a set of ordinary differential equations. This resulting set of equations is then solved successively. The representative curves illustrating the variations of bulk temperature, heat flux, and Nusselt numbers with pertinent parameters are plotted. The asymptotic Nusselt numbers for small, as well as large Peclet numbers, is obtained as 3.6565, compared to the exact classical value of 3.6568. The significance of each curve is also discussed.
650 _aExact Solution
_9682000
650 _aExtended Graetz Problem
_9879513
650 _aAxial Heat Conduction
_9879514
650 _aConvective Heat Transfer Properties
_9879515
773 0 _tInternational Journal of Heat and Mass Transfer
_x00179310
_dNew York, U.S.A : Pergamon Subsidiary of Elsevier Science & Technology
856 _uhttps://www.sciencedirect.com/science/article/pii/0017931089900537
942 _2ddc
_n0
_cART
_o14993
_pMr. Muhammad Rafique Al Haj Rajab Ali (Late)
999 _c814602
_d814602