A student team is to design a submarine for a design competition. The overall length of the prototype submarine is 4.85 m. The prototype submarine is expected to moves through freshwater in the lake at 0.440 m/s. The student team builds a one-fifth scale model to test in their university's wind tunnel. Calculate the wind tunnel air speed in order to achieve similarity with the prototype submarine. For water at T= 15 °C and atmospheric pressure, the density is p = 999.1 kg/m³ and the dynamic viscosity is u = 1.138 x 10³ kg/m·s. For air in the wind tunnel at T= 25 °C and atmospheric pressure, the density is p= 1.184 kg/m³ and the dynamic viscosity is µ= 1.849 x 10$ kg/m's.

A student team is to design a submarine for a design competition. The overall length of the prototype submarine is 4.85 m. The prototype submarine is expected to moves through freshwater in the lake at 0.440 m/s. The student team builds a one-fifth scale model to test in their university's wind tunnel. Calculate the wind tunnel air speed in order to achieve similarity with the prototype submarine. For water at T= 15 °C and atmospheric pressure, the density is p = 999.1 kg/m³ and the dynamic viscosity is u = 1.138 x 10³ kg/m·s. For air in the wind tunnel at T= 25 °C and atmospheric pressure, the density is p= 1.184 kg/m³ and the dynamic viscosity is µ= 1.849 x 10$ kg/m's.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A student team is to design a submarine for a design competition. The overall
length of the prototype submarine is 4.85 m. The prototype submarine is
expected to moves through freshwater in the lake at 0.440 m/s. The student team
builds a one-fifth scale model to test in their university's wind tunnel. Calculate
the wind tunnel air speed in order to achieve similarity with the prototype
submarine. For water at T= 15 °C and atmospheric pressure, the density is p =
999.1 kg/m³ and the dynamic viscosity is µ = 1.138 x 10³ kg/m-s. For air in the
wind tunnel at T= 25 °C and atmospheric pressure, the density is p= 1.184 kg/m³
and the dynamic viscosity is µ = 1.849 x 10-$ kg/m's.

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F₂ Figure 1: Problem 6.