Exam 3 form - -1(4 ˙ m = ρuA = ρ a A = ± 2 γ 1 ² γ 1...

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EGN3353C - Fluid Mechanics Spring Semester 2010 Exam 3: Formula Sheet Notation A – area a – speed of sound M – Mach number ˙ m – mass flow p – pressure R – gas constant T – temperature u – velocity γ – Ratio of specific heats ρ – density Isentropic Flow Subscript 0 and superscript * denote stagnation (total) and sonic conditions, respectively T 0 T = 1 + γ - 1 2 M 2 (1) p 0 p = T 0 T γ γ - 1 = 1 + γ - 1 2 M 2 γ γ - 1 (2) ρ 0 ρ = T 0 T 1 γ - 1 = 1 + γ - 1 2 M 2 1 γ - 1 (3) A A * = 1 M 2 γ + 1 1 + γ - 1 2 M 2 γ +1
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Unformatted text preview: -1) (4) ˙ m = ρuA = ρ * a * A * = ± 2 γ + 1 ² γ +1 2( γ-1) p √ γ √ RT A * (5) Normal Shock Waves Subscripts 1 and 2 denote conditions ahead of and behind the shock wave, respectively ρ 2 ρ 1 = u 1 u 2 = ( γ + 1) M 2 1 2 + ( γ-1) M 2 1 (6) p 2 p 1 = 1 + 2 γ γ + 1 ( M 2 1-1 ) (7) M 2 = s 2 + ( γ-1) M 2 1 2 γM 2 1-( γ-1) (8) 1...
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