where . The volume of a liquid flowing out per second of a pipe of length l and radius r is written by a student as Image given below where P is the pressure difference between the two ends of the pipe and η is coefficent of viscosity of the liquid having dimensional formula ML–1 T–1. That can be rearranged to F/(At) = F/(L^2 t). Check whether the equation is dimensionally correct. Viscosity and Temperature.

[ML-1 T-2] is the dimensional formula of (A) force (B) coefficient of friction (C) modulus of elasticity (D) energy.

This fluid head is also part of the equation that makes up the volume of the fluid.

The dimensional formula of coefficient of viscosity is (A) [MLT-1] (B) [M-1 L 2 T-2] (C) [ML-1 T -1] (D) none of these. Dynamic viscosity may also be expressed in the metric CGS (centimeter-gram-second) system as g/ (cm s), dyne s/cm2 or poise (p) where. The analysis involves the fundamental units of dimensions MLT: mass, length, and time. The timings can be used along with a formula to estimate the kinematic viscosity value of the fluid in Centistokes (cSt). Practice Zone : Units & Dimensions. 1 Pa s = 1 N s/m2 = 1 kg/ (m s) = 0.67197 lbm/ (ft s) = 0.67197 slug / (ft s) = 0.02089 lbf s/ft2. It is helpful in experimental work because it provides a guide to factors that significantly affect the studied phenomena. The basic dimensions of shear stress are ML-1T-2. Mathematical expression or formula of viscosity. ν SSU < 100. ν Centistokes = 0.220 ν SSU - 135 / ν SSU. Answer: The dynamic viscosity of mercury is η= 1.526 Pa*s. First calculate the density mass of mercury using the formula ρ = mass/volume. Learn to derive its dimensional expression with detailed explanation. Following is the unit of coefficient of viscosity in different systems: SI unit: Ns.m-2; CGS unit: poise; Coefficient of viscosity of liquid. Dimensional formula of coefficient of viscosity η: M 1 L-1 T-1. Viscosity , n is the frictional force per unit area per unit velocity gradient.

The dimensions of viscosity can be determined based on how it is defined. The top plate is free to move, while the bottom one is stationary. However, instead of having to draw hundreds of graphs portraying its variation with all combinations of these parameters, dimensional analysis tells us that the problem can be reduced to a single dimensionless relationship c D f(Re) where c D is the drag coefficient and Re is the Reynolds number. 1 poise = 1 dyne s/cm2 = 1 g/ (cm s) = 1/10 Pa s = 1/10 N s/m2.

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