Question

Consider fully developed laminar flow in a circular pipe. If the dynamic viscosity of the fluid is reduced by half while the flow rate is held constant, the pressure drop will a. Half b. Double C. Quadruple d. Remain constant

Answer 1

(a) half

Step-by-step explanation:

we know that pressure drop
`\Delta P=(128* \mu * L* Q)/(\pi d^4)`

where μ is known as the dynamic viscosity

from the above relation we can see that drop in pressure is directly proportional to the dynamic viscosity so if we reduced the dynamic viscosity by half then pressure drop will also reduced by half

so option (a) will be the correct option