Question
Download Solution PDFजब मैक संख्या इकाई से कम हो तो प्रवाह क्या कहलाता है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
मैक संख्या
मैक संख्या को जड़त्व बल का प्रत्यास्थ बल से अनुपात के रूप में परिभाषित किया गया है।
\(M = \sqrt {\frac{{Inertia\;force}}{{Elastic\;force}}} = \sqrt {\frac{{\rho A{V^2}}}{{KA}}} = \sqrt {\frac{{{V^2}}}{{\frac{K}{\rho }}}} = \frac{V}{{\sqrt {\frac{K}{\rho }} }} = \frac{V}{C}\;\;\;\;\left\{ {\sqrt {\frac{K}{\rho }} = C = Velocity\;of\;sound} \right\}\)
\(M = \frac{{Velocity\;of\;body\;moving\;in\;fluid}}{{velocity\;of\;sound\;in\;fluid}}\)
संपीड्य द्रव प्रवाह के लिए, मैक संख्या एक महत्वपूर्ण विमा रहित प्राचल है। मैक संख्या के आधार पर प्रवाह को परिभाषित किया जाता है।
मैक संख्या |
प्रवाह के प्रकार |
M < 0.8 |
अव-ध्वनिक प्रवाह |
0.8 < M <1.3 |
ट्रांस-ध्वनिक |
M = 1 |
ध्वनिक प्रवाह |
1.3 < M < 5 |
परा-ध्वनिक प्रवाह |
M > 5 |
अति-ध्वनिक प्रवाह |
अन्य महत्वपूर्ण विमारहित संख्याओं का वर्णन नीचे दी गई तालिका में किया गया है
रेनॉल्ड की संख्या |
\(R_e=\frac{{{inertia force}}}{{{viscous force}}} = \frac{{{\bf{\rho VL}}\;}}{{\bf{\mu }}}\) |
फ्राउड संख्या |
\({F_r} = \sqrt {\frac{{inertia\;force}}{{gravitation\;force}}} = \frac{V}{{\sqrt {{\bf{Lg}}} }}\) |
यूलर संख्या |
\({E_u} = \sqrt {\frac{{inertia\;force}}{{pressure\;force}}} = \frac{V}{{\sqrt {P/\rho } }}\) |
वेबर संख्या |
\({W_e} = \sqrt {\frac{{inertia\;force}}{{surface\;tension}}} = \frac{V}{{\sqrt {\sigma /\rho L} }}\) |
Last updated on Jul 2, 2025
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