एक द्वि-आयामी प्रवाह क्षेत्र में क्रमशः u = x2t और v = - 2xyt द्वारा दिए गए x और y दिशाओं के साथ वेग होते हैं, जहां t समय है। धारा रेखा का समीकरण है:

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  1. x2y = स्थिरांक
  2. xy2 = स्थिरांक
  3. xy = स्थिरांक
  4. निर्धारित करना संभव नहीं है

Answer (Detailed Solution Below)

Option 1 : x2y = स्थिरांक
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BHEL Engineer Trainee Fluid Mechanics Mock Test
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Detailed Solution

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Concept:

Equation of streamline is given by:

Calculation:

Given:

u = x2t and v = - 2xyt

Equation of streamline is:

Integrating both sides,

2 lnx + lny = lnc

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