•  
agra,ahmedabad,ajmer,akola,aligarh,ambala,amravati,amritsar,aurangabad,ayodhya,bangalore,bareilly,bathinda,bhagalpur,bhilai,bhiwani,bhopal,bhubaneswar,bikaner,bilaspur,bokaro,chandigarh,chennai,coimbatore,cuttack,dehradun,delhi ncr,dhanbad,dibrugarh,durgapur,faridabad,ferozpur,gandhinagar,gaya,ghaziabad,goa,gorakhpur,greater noida,gurugram,guwahati,gwalior,haldwani,haridwar,hisar,hyderabad,indore,jabalpur,jaipur,jalandhar,jammu,jamshedpur,jhansi,jodhpur,jorhat,kaithal,kanpur,karimnagar,karnal,kashipur,khammam,kharagpur,kochi,kolhapur,kolkata,kota,kottayam,kozhikode,kurnool,kurukshetra,latur,lucknow,ludhiana,madurai,mangaluru,mathura,meerut,moradabad,mumbai,muzaffarpur,mysore,nagpur,nanded,narnaul,nashik,nellore,noida,palwal,panchkula,panipat,pathankot,patiala,patna,prayagraj,puducherry,pune,raipur,rajahmundry,ranchi,rewa,rewari,rohtak,rudrapur,saharanpur,salem,secunderabad,silchar,siliguri,sirsa,solapur,sri-ganganagar,srinagar,surat,thrissur,tinsukia,tiruchirapalli,tirupati,trivandrum,udaipur,udhampur,ujjain,vadodara,vapi,varanasi,vellore,vijayawada,visakhapatnam,warangal,yamuna-nagar
Unit of Viscosity

Viscosity - Definition, Formula and Si Units of Viscosity

Viscosity is generally defined as a measure of the "thickness" of a liquid. More accurately, the viscosity of a fluid (liquid or gas) is the measure of the resistance offered by that fluid against deformation. Viscosity can be further explained as the quantification of the internal frictional force that is found between nearby layers of that fluid in motion relative to each other. The term "viscosity" is derived from the Latin word viscum, meaning mistletoe. The inverse quantity of viscosity is called fluidity, which describes the ease with which the fluid can flow.

The viscosity of a fluid must be taken into consideration if the fluid is to be used for lubrication purposes or if it is meant to be transported using pipelines. The importance of this can be seen in the case where a fluid contained in a container has to travel through a narrow tube. It can be noticed that the fluid flows more quickly near the entrance of the tube compared with other areas in the container. This is because stress, here the pressure difference between the two ends of the tube, is needed for the flow of the fluid to continue. This proves that an external force is needed to get over the internal friction between the layers of the fluid, which are in relative motion. Viscosity is the determining factor of the fluid flow in the processes such as spraying, injection, molding, and surface coating.

A desirable fluid in some cases is one that offers zero viscosity; that is, the fluid should offer zero resistance to deformation, enabling it to transfer energy without any loss in magnitude. This ideal fluid is also known as inviscid fluid. However, this property is exhibited only by certain substances called superfluids at very low temperatures. A good example of this is the helium-3, and helium-4 isotopes of helium behave as inviscid fluids at temperatures of about −180 °C (93 K; −292 °F). In fluids, the shearing stress which causes the flow of the fluid is directly proportional to the rate of deformation caused in the fluid (shear strain). Thus, the viscosity of a fluid is given by the shear stress divided by the rate of shear strain at a particular, fixed temperature. This kind of viscosity is also called dynamic or absolute viscosity.

The term kinematic viscosity or momentum diffusivity of a fluid, which is also seen in fluid mechanics, refers to the ratio of dynamic viscosity to the density of that fluid. The viscosity of a fluid is denoted using the Greek letters µ or Ƞ. The SI unit of viscosity is pascal- second (Pa. s) which is equal to newton-second per square meter (Ns/m 2 ). The force acting on the fluid that allows the fluid to flow by overcoming the internal frictional force is given by F = µA. (u/ y)

where

  • F = the force acting on the fluid
  • µ = the proportionality factor, called the dynamic viscosity of the fluid, or just viscosity
  • A = the area over which the force is acting
  • (u/ v) = the rate of shear deformation or also called shear velocity

Units of Viscosity

  • Dynamic viscosity: The SI unit of dynamic viscosity is pascal-second (Pa. s), but it is also expressed as newton-second per square meter (N·s/ m 2 ) and kilogram per meter per second (kg. m −1 . s −1 ). The CGS unit of viscosity, poise, was named after the French physicist Jean Léonard Marie Poiseuille and is denoted using P. The value of poise is given as 1 poise = 1 g. cm −1 . s −1 or 0.1 Pa. s. Poise was used in the ASTM (American Society for Testing Materials) international standard of units as centipoise (cP) and 1 cP = mPa. S (millipascal second). In the British Gravitational (BG) system, the unit of dynamic viscosity is pound- seconds per square foot (lb· s/ ft 2 ). In the English Engineering (EE) system, its unit is pound-force seconds per square foot (lbf·s/ ft 2 ).
  • Kinematic viscosity: The SI unit of kinematic viscosity is square meters per second (m 2 / s). The CGS unit of kinematic viscosity, stokes, was named after Sir George Gabriel Stokes, an English physicist. It is denoted as St, and it is given as 1 St = cm 2 . s −1 = 0.0001 m 2 . s −1 . Another version of the stokes commonly used is the centistokes (cSt), the value for which is given by 1 cSt = 1 mm 2 . s −1 = 10 −6 m 2 . s −1 . In both BG and EE systems, the unit of kinematic viscosity is square feet per second (ft 2 /s).

Aakashians JEE Topper

Aakashians NEET UG 2023 Champions Again

Historic Results 2023 Aakashians Qualified +1 Lakh

JEE Advanced 2023

JEE Advanced 2023 Stats

JEE Advanced 2022 Topper

NEET Related Links

NEET Exam 2024

NEET 2024 Exam Dates

NEET 2024 Exam pattern

NEET 2024 Syllabus

NEET 2024 Eligibility Criteria

NEET 2024 Application

NEET UG Counselling

NEET FAQ

NEET UG Result

NEET 2024 Cut Off

Neet 2023 Toppers List Names & Rank

Neet Result 2023 Toppers list rank cut off

Neet Answer key Live Download PDF

Neet 2023 State Toppers List

JEE MAIN Related Links

JEE Main 2024

JEE Main Rank Predictor 2024

JEE Main College Predictor 2024

JEE Main 2024 Exam Dates

JEE Main 2024 Exam pattern

JEE Main 2024 Application

JEE Main 2024 Eligibility Criteria

JEE Main 2024 Syllabus

JEE Main 2024 Physics Syllabus

JEE Main 2024 Maths Syllabus

JEE Main 2024 Chemistry Syllabus

JEE Main 2024 Admit Card

JEE Main 2024 Counselling

JEE Main marks vs rank vs percentile

JEE Advanced Result 2023 live topper list

JEE Exam Preparation - How to calculate your rank jee

JEE Maths Syllabus - Important topics and weightage

JEE Advanced Related Links

JEE Advanced 2024 Exam Dates

JEE Advanced 2024 Application

JEE Advanced 2024 Eligibility Criteria

JEE Advanced 2024 Syllabus

JEE Advanced 2024 Maths Syllabus

JEE Advanced 2024 Physics Syllabus

JEE Advanced 2024 Chemistry Syllabus

JEE Advanced Exam Result

JEE Advanced Exam Dates

JEE Advanced Registration Dates

CUET Related Links

CUET 2024 Eligibility Criteria

CUET 2024 Admit Card

CUET 2024 Exam Pattern

CUET 2024 FAQs

CUET 2024 Counselling

CUET 2024 Syllabus

CUET 2024 Result

CUET 2024 Answer Key

CUET 2024 Preparation

CUET CUTOFF

CUET 2024 Application Form

Talk to our expert
Resend OTP Timer =
By submitting up, I agree to receive all the Whatsapp communication on my registered number and Aakash terms and conditions and privacy policy