In res [I], V. E. Najenov studied the conditions that when the viscosity of the liquid is an exponential function of temperature, the pipe flow, having stead)' heat transfer, is onedimensional and with nonun!(orm temperature. For plane canal and circular pipe he still studied the velocitv and the temperture fields.In this paper, the author presents two new method.~ for solving the .same problem. The metht, d as in ref [1] may be regarded as the natural branch of the methods of this paper. One of our new methods onl)' can solve the same problem as in ref [I] and the complex degree of its computing process is nearly the same as that in ref [I]. But the other can gobeyond the studying scope of ref.[1], namely, for the case that the curvatures of circumference of the cross section of the pipe are not equivalent everywhere, the problem rm~y also, be solved.

In rtJl 1 ', tinder the condition that the componcllls ol 'vehpcit.v arc .hi) thu lure II~,n.~ rJl time and pldar angh" 0 . Dvornikov .voh'cd eqs. ,* I. I J ~ 1.3 ) i# lilt' ideal va~ un~tcadv phtmtr paralh'l IJOtential /low. It was pointed out ill rell I I ~ that ill general c,.~c.~, thc t'~'ith'nl .vo/lllioll.V cuuld I101 fit' Ol~ltlillt'd. Oll/l' ./ill" lifo e.vwcial ca.w.v, lilt' cl'iih'tl/ .~ohllioll.~ wcrt' M~lained. Ill thix paper, lilt' author studies the sanw prohh'm as that ill rtJ. [ I I. Ill thc lir.~t .~c~ti,n ne oltltlilt lilt' evident solliliotl qlequalioll.~ ( I. ] ) t 1.3 ~ IOlder lilt" COlldilioll l/lilt IIw .~olli<" t't'llJciI.V i.~' re.~lriclt,d h)" some lonlplemetilal colltliliolls, hi Iht' secolld.~('cliotl, ill olttoill lilt' /ir~t-orth'r ttl~l~roximatc .~'ohtliolt.r ~{1 the tim&mlt'ntal eqUttliolt rio" IIw case that ;'~'?. t Key words adiabatic index lmmber, gas. unsteady planar parallel Ilmv

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