written 7.2 years ago by | modified 2.3 years ago by |

find the dimension of shorter side of duct.

Mumbai University > Mechanical Engineering > Sem 8 > Refrigeration and air conditioning

Marks: 06M

Year: Dec 2016

**4 Answers**

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Aspect ratio of rectangular duct is 7 and its equivalent circular duct diameter is 100 mm. The ratio of longer side of rectangular duct to the diameter of circular duct is 2.6.

written 7.2 years ago by | modified 2.3 years ago by |

find the dimension of shorter side of duct.

Mumbai University > Mechanical Engineering > Sem 8 > Refrigeration and air conditioning

Marks: 06M

Year: Dec 2016

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written 5.3 years ago by |

The given data is

$\frac{b}{a}=7 and \frac{b}{D}=2.6$

For the given condition, the relation between the two geometric sections is given by

D=1.256$[\frac{ab{^3}}{(a+b)}]^{(1/5)}$

substituting the given values

10=$1.265[\frac{(a×7a)^3}{8a}]^{(1/5)}=1.265×a(\frac{343}{8})^{0.2}=2.68a$

∴a=10/2.68=3.73 cm

b=7×3.73=26.12 cm

as $ \frac{b}{D}=\frac{26.2}{10}$=2.61 which satisfes the third given condition

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written 2.5 years ago by |

The given data is

$\frac{b}{a}=7 and \frac{b}{D}=2.6$

For the given condition, the relation between the two geometric sections is given by

D=1.256$[\frac{ab{^3}}{(a+b)}]^{(1/5)}$

substituting the given values

10=$1.265[\frac{(a×7a)^3}{8a}]^{(1/5)}=1.265×a(\frac{343}{8})^{0.2}=2.68a$

∴a=10/2.68=3.73 cm

b=7×3.73=26.12 cm

as $ \frac{b}{D}=\frac{26.2}{10}$=2.61 which satisfes the third given condition

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0

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written 2.5 years ago by |

The given data is

$\frac{b}{a}=7 and \frac{b}{D}=2.6$

For the given condition, the relation between the two geometric sections is given by

D=1.256$[\frac{ab{^3}}{(a+b)}]^{(1/5)}$

substituting the given values

10=$1.265[\frac{(a×7a)^3}{8a}]^{(1/5)}=1.265×a(\frac{343}{8})^{0.2}=2.68a$

∴a=10/2.68=3.73 cm

b=7×3.73=26.12 cm

as $ \frac{b}{D}=\frac{26.2}{10}$=2.61 which satisfes the third given condition

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