In a design of a blended wing bodied drone, a prototype has a mean chord length...

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In a design of a blended wing bodied drone, a prototype has a mean chord length of 8 m and wingspan of 18 m to operate at speed of 80 km/h. To save both time and money, a smaller scale model is tested in a wind tunnel to study the fuel consumption. The drone is to be subjected to drag and lift forces in operation. (a) Use Buckingham Pi theory to determine dimensionless groups and the corresponding non-dimensional equation. (b) Determine the wind tunnel stream speed for a 1:5 model of the prototype. (c) Determine the estimated fuel consumption rate of the drone if it was equipped with an engine of 26 % efficiency. Taking the density of air and kerosene as 1.225 kg/m³ and 820 kg/m³ respectively, and its heat content as 4620 kJ/kg. In a design of a blended wing bodied drone, a prototype has a mean chord length of 8 m and wingspan of 18 m to operate at speed of 80 km/h. To save both time and money, a smaller scale model is tested in a wind tunnel to study the fuel consumption. The drone is to be subjected to drag and lift forces in operation. (a) Use Buckingham Pi theory to determine dimensionless groups and the corresponding non-dimensional equation. (b) Determine the wind tunnel stream speed for a 1:5 model of the prototype. (c) Determine the estimated fuel consumption rate of the drone if it was equipped with an engine of 26 % efficiency. Taking the density of air and kerosene as 1.225 kg/m³ and 820 kg/m³ respectively, and its heat content as 4620 kJ/kg.

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aDimensionless Groups and Equation Buckingham Pi theorem helps us identify the relevant parameters and formulate a nondimensional equation for the sys... View the full answer