physics-class-11-unit-10-chapter-05-mechanical-properties-of-fluids-5-lecture-5-5-scyo86pctey

### <Success style="font-size:25px"> Mechanical Properties Of Fluids 5 L-5 </Success>
### <primary style="font-size:24px"> Bernoulli's Principle </primary>
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- Inner walls of the arteries are elastic in nature.

- There is a plaque deposition inside of the artery.

- The arteries which carry blood to the heart are called coronary arteries.

- Bernoulli's principle: Kinetic head + Potentioal head + Pressure head =  constant 
	
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<footer style = "font-size: 18px"> $\rightarrow$ Mechanical Properties of Fluids $\rightarrow$ <span style = "color:blue"> Bernoulli's Principle </span> $\rightarrow$ Viscosity $\rightarrow$ Viscosity </footer>

### <Success style="font-size:25px"> Mechanical Properties Of Fluids 5 L-5 </Success>
### <primary style="font-size:24px"> Viscosity </primary>
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- The viscosity of a fluid is a measure of its resistance to deformation at a given rate.

- Ideal fluid  $\equiv$ non-viscous fluid.

- $v_1>v_2>v_3>v_4>v_5>(=0)$ laminar flow

- Viscous fluids

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<footer style = "font-size: 18px">Mechanical Properties of Fluids $\rightarrow$ Bernoulli's Principle $\rightarrow$ <span style = "color:blue"> Viscosity </span> $\rightarrow$ Viscosity $\rightarrow$ Units of Viscosity </footer>

### <Success style="font-size:25px"> Mechanical Properties Of Fluids 5 L-5 </Success>
### <primary style="font-size:24px"> Viscosity </primary>
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- The applied force depends on

-  (i) Surface area, A

- $ f \propto {A}$

-  (ii) speed, v             $\quad f \propto {v}$

-  (iii) height,  $h$      $\quad f \propto\frac {1}{h}$

- $f \propto \frac {Av}{h}=\eta \frac {Av}{h}$

- $\eta$: is called as Coefficient of viscosity
	
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<footer style = "font-size: 18px">Bernoulli's Principle $\rightarrow$ Viscosity $\rightarrow$ <span style = "color:blue"> Viscosity </span> $\rightarrow$ Units of Viscosity $\rightarrow$ Viscosity of some of the Common Fluids </footer>

### <Success style="font-size:25px"> Mechanical Properties Of Fluids 5 L-5 </Success>
### <primary style="font-size:24px"> Viscosity of some of the Common Fluids </primary>
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| Fluid | Temparature ($^\circ$C)|$\eta\text{(viscosity)}\times 10^{-3} (Pa·s)$ |
| -------- | -------- | -------- |
| Air    | 0     |0.0171     |
| Helium   | 20    | 0.0196     |
| blood    | 37    | 4     |
| Glycerine    | 20    | 1500     |
| Methanol    | 0     | 0.584    |
| Water  |0   | 1.78   |
|  Water      |   20  |    1.0    |
|   Water     |    40 |0.65        |

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![image](https://temp-public-img-folder.s3.ap-south-1.amazonaws.com/sathee.prutor.images/subject-images/iitpal/image/physics-class-11-unit-10-chapter-05-mechanical-properties-of-fluids-5-lecture-5_5-scyo86pctey-06.jpg)

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<footer style = "font-size: 18px">Viscosity $\rightarrow$ Units of Viscosity $\rightarrow$ <span style = "color:blue"> Viscosity of some of the Common Fluids </span> $\rightarrow$ Poiseuille's Law $\rightarrow$ Example </footer>

### <Success style="font-size:25px"> Mechanical Properties Of Fluids 5 L-5 </Success>
### <primary style="font-size:24px"> Poiseuille's Law </primary>
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- The flow rate of an fluid through the Pipe of raidius ,R., length L and  having a pressure difference of $P_2-P1$ along the length.

- $Q \propto P_2 -P_1 \propto \frac {1}{L} \propto R^4$

- $P_2 >P_1$

- $Q= \frac{\pi R^4 (P_2 - P_1)}{8 \eta  L}$

- $\eta^\prime = \frac{\pi}{8 \eta}$

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<footer style = "font-size: 18px">Units of Viscosity $\rightarrow$ Viscosity of some of the Common Fluids $\rightarrow$ <span style = "color:blue"> Poiseuille's Law </span> $\rightarrow$ Example $\rightarrow$ Summary </footer>

### <Success style="font-size:25px"> Mechanical Properties Of Fluids 5 L-5 </Success>
### <primary style="font-size:24px"> Example </primary>
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- **Example:**

- The surface tension of a soap solution is 0.02 N/m what amount of work is requred for produsing a soap bubble of radius 0.05m ?

- **Solution**

- The work lone in making a soap bubble = Surface Tension $\times$ Total Surface Area

- Surface Tension $\times$ (inner + outer) surface area

- =$0.03_{N/m} \times 2\times 4\pi(0.05_m)^2  $

- $= 1.884 \times 10^{-3} J$

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<footer style = "font-size: 18px">Viscosity of some of the Common Fluids $\rightarrow$ Poiseuille's Law $\rightarrow$ <span style = "color:blue"> Example </span> $\rightarrow$ Summary $\rightarrow$ Thank You </footer>

### <Success style="font-size:25px"> Mechanical Properties Of Fluids 5 L-5 </Success>
### <primary style="font-size:24px"> Summary </primary>
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- 1. Density and specific gravity .
- 2. Pressure.
- 3. Different units of pressure.
- 4. Measurement of pressure Barrometer, U tube.
- 5. Pascal's principle.
- 6. Equation of continuity.
- 7. Buoyancy and Archimedes principle.
- 8. Surface tantional and surface energy.
- 9. Bernoulli's equation
- 10. The viscosity

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<footer style = "font-size: 18px">Poiseuille's Law $\rightarrow$ Example $\rightarrow$ <span style = "color:blue"> Summary </span> $\rightarrow$ Thank You $\rightarrow$  </footer>