Numerical modeling of one dimensional fanno flow

One-Dimensional Fanno ow equations may be represented by the governing par- tial di erential equations for mass, momentum and energy conservation. The present study focuses on the numerical solution of one-dimensional Fanno ow equations. An explicit Finite Di erence Scheme (MacCormack Predictor-Corrector scheme) is employed here to simulate the ows. In addition, the concept of arti - cial viscosity is used to smoothen the computed data. The computer algorithm is tested against results of dam break ow. Three di erent problems, viz. (i) Piston compression subjected to supersonic and subsonic ow conditions, (ii) Piston ex- pansion in subsonic ow conditions, and (iii) Pressure jump problem in a slender channel. In piston compression, the shock position is calculated within 1% error as compared to inviscid compressible ow.(Piston position: x = 20m, shock position x = 28:12m). For time t = 20s of piston run, the pressure values become 10 times of its initial value and density rises 4 times of its initial value in front of piston which shows a huge rise in enthalpy of the ow. In subsonic ow, the piston speed is M = 0:3, the numerical scheme captures travelling waves. For t = 20s, the pressure rises 10 times its initial value and density rises 1:8 times. The thesis also employs a three-dimensional CFD software STAR CCM+ to study supersonic ow condition of Piston entry problem. Comparing the results obtained from MacCor- mack Scheme and STAR CCM+ it may be stated that the one-dimensional model provides satisfactory results as numerical solution gives 1:911% error as compared to STAR CCM+ solution, with signi cant reduction in solution time.