A SYMMETRICAL SOLUTION FOR VELOCITY PROFILE IN LAMINAR-FLOW THROUGH RECTANGULAR DUCTS

The present analysis is concerned with the velocity distribution in st eady state, hydrodynamically fully developed, laminar flow for Newtoni an fluids in rectangular ducts. The solutions describing velocity prof iles and friction factors are derived by using the finite Fourier tran sform. The solution giving the two-dimensional velocity distribution i s formally symmetric with respect to the rectangular Cartesian coordin ates x and y, and provides more accurate numerical results, with short er computational times, in comparison to the well known velocity distr ibutions usually quoted in literature.