A four cylinder four stroke engine has a cubic capacity of 1490 cc. It develops maximum power at 4200 rpm and air fuel ratio is 13:1. The air speed at venture is limited to 90 m/s. the volumetric efficiency of engine is 70%. Nozzle lip is 6 mm and atmospheric pressure and temperature are 1.013 bar and 293 K. An allowance is to be made for emulsion tube whose diameter should be taken as 1/2.5 of venture diameter. Taking following data, calculate the diameter of venture and nozzle. Cda=0.85,Cdf=0.66 and density of fuel=$740Kg/m^{3}$.

A single carburetor supplies air-fuel mixture to the engine.

The area through which air is flowing is

The volume of air supplied to the engine at atmospheric conditions per second

The mass of air is given by

the air velocity through venturi is given by

Where, the compression of air through venture is considered isentropic.

Considering the compression of air passing through venture is isentropic

The volume of air passing through the carburetor is given by

The fuel mass flow is given by

The fuel mass flow through the carburetor is given by

Where,

Substituting the values in the above equation