Assertion: When a liquid flowing in a broader pipe enters into a narrow pipe, the flowspeed of liquid increases.Reason: According to equation of continuity product of cross section area of a pipeand flow speed of liquid must remain constant at all sections of the pipe.

In a cement factory, a viscous liquid flows through a pipe with an area of cross-section 6 m2 ata velocity of 8 m/s.When this fluid moves forward, the area of cross-section of the pipe decreases to 4 m2. Thevelocity of the liquid will now be

Which of the statements are true?Group of answer choicesFor flow in a pipe, the velocity is the same across the pipe cross section.Mass flow rate can be defined as the multiples of density, pipe average velocity, and cross section area normal to the velocity.A volume flow rate is defined as the volume of the fluid flowing through a cross section per unit time.A mass flow rate into control volume is proportional to the velocity component parallel to the cross sectional area.Mass flow rate is defined as the amount of mass flowing through a cross section per unit time.

Since liquid can be considered as incompressible, the volume flow rates into and out of a steady flow device will remain constantGroup of answer choicesTrueFalse

Assertion : Viscous force inside a flowing liquid is directed in the direction of decreasing velocity of liquid particle.Reason : Kinetic friction opposes relative sliding.

A process fluid with a constant density, p kg/m³, enters a vertical cylindrical tank through an inlet pipe at its top. The tank is Dm in diameter and 2.4 m tall. The fluid leaves the tank at the flat bottom through an outlet pipe with an internal diameter dm. When operated at a steady state with 1.2 m liquid level inside the tank, the outlet velocity of the fluid through the bottom pipe, v(t) m/s, can be estimated from Bernoulli equation as:v(t) = 4h(t)where h(t) m is the liquid level inside the tank.(a) Obtain the transfer function between the liquid level inside the tank and the inlet volumetric flow rate when the tank is half full of the liquid.(b) Determine how long it will take for the liquid level inside the tank to increase by 0.1 m when the inlet volumetric flow rate is suddenly increased by 0.01 m³/s from the steady state value. Data: p = 1000 kg/m³, D = 1 m and d = 0.1 m.