What Is A Newtonian Fluid

Newtonian fluid meaning in simple words

In simple words, a Newtonian fluid is a liquid or gas whose thickness (viscosity) stays the same when you stir it slowly or fast, as long as temperature and pressure do not change.

If you double the shear rate (how fast layers of fluid slide over each other),

  • The shear stress also doubles,
  • Because the viscosity is constant.

Everyday Newtonian fluids:

  • Water
  • Air
  • Thin oil
  • Alcohol
  • Simple sugar solutions

These fluids behave in a simple, linear, and predictable way, so they are very important in fluid mechanics, pipe flow, and engineering exam numericals.

How to explain Newtonian Fluid to a Kid?

Think of a glass of water and a bottle of ketchup.

When you stir water slowly or fast, it always feels the same. Its thickness does not change.

Such a liquid is called a Newtonian fluid.

Its (गाढ़ापन) (viscosity) stays the same even if you apply more force.

But ketchup at home behaves differently.

  • At first it comes out slowly.
  • When you shake the bottle or press hard, it suddenly flows faster.
  • This is a non Newtonian fluid, not a Newtonian one.

In school life terms:

  • Water in your bottle → Newtonian fluid
  • Ketchup in the school canteen → non Newtonian fluid

Engineers use these ideas to design water pipelines, pumps, machines and hydraulic systems that you see everywhere in India.

'Newtonian Fluid' in some of the Indian Languages

Language Word or phrase used Simple explanation in that language What it relates to
Hindi न्यूटनियन द्रव (Newtonian drav) ऐसा द्रव जिसकी गाढ़ापन एक जैसा रहता है, चाहे आप उसे तेज हिलाएं या धीरे हिलाएं द्रव यांत्रिकी, इंजीनियरिंग, पानी की पाइपलाइन
Marathi न्यूटनियन द्रव असा द्रव ज्याची घट्टपणा (viscosity) बदलत नाही, गती काहीही असो फ्लुइड मेकॅनिक्स, पाणीपुरवठा, हायड्रॉलिक सिस्टम
Tamil நியூட்டனிய திரவம் (Newtonian thiravam) எவ்வளவு வேகமாகக் கிளறினாலும் அதன் கனம் மாறாத திரவம் திரவ இயந்திரவியல், குழாய் ஓட்டம்
Kannada ನ್ಯೂಟೋನಿಯನ್ ದ್ರವ (Newtonian drava) ಎಷ್ಟು ಬಲದಿಂದ ಕೆದಕಿದರೂ ದ್ರವದ ಗಟ್ಟಿತನ ಬದಲಾಗದ ದ್ರವ ಇಂಜಿನಿಯರಿಂಗ್, ಹೈಡ್ರಾಲಿಕ್, ನೀರಿನ ಸರಬರಾಜು
Bengali নিউটনীয় তরল (Newtoniyo torol) যতই নাড়ুন, যার ঘনত্ব একই রকম থাকে, সেই তরল ফ্লুইড মেকানিক্স, পাইপে জল প্রবাহ
Gujarati ન્યુટોનિયન પ્રવાહી (Newtonian pravāhī) જેને તમે ધીમે કે તેજ હલાવો તો પણ એની ચીકાશ એકસરખી રહે પ્રવાહી ગતિશાસ્ત્ર, પાણીની લાઇન, તેલ પ્રવાહ
Telugu న్యూటోనియన్ ద్రవం (Newtonian dravam) ఎంత బలంగా కలిపినా దాని సాంద్రత మారని ద్రవం ద్రవ గతిక శాస్త్రం, పైప్ లైన్, హైడ్రాలిక్స్
Malayalam ന്യൂട്ടോണിയൻ ദ്രാവകം (Newtonian drāvakam) എത്ര ശക്തിയായി കലക്കിയാലും കട്ടിപ്പ് മാറാത്ത ദ്രാവകം ദ്രാവ ഗതിശാസ്ത്രം, ജലവിതരണ പൈപ്പ്, എഞ്ചിനീയറിംഗ്

Formal definition using Newton's law of viscosity

Technically, a Newtonian fluid is defined using Newton's law of viscosity:

τ = μ (du/dy)

τ = μ ( du dy )

Where:

  • τ (tau) = shear stress in the fluid (N/m² or Pa)
  • μ (mu) = dynamic viscosity (Pa·s), which is constant for a Newtonian fluid at a given temperature and pressure
  • du/dy = velocity gradient or shear rate (s⁻¹)

For a Newtonian viscous fluid, the relation between shear stress (τ) and shear rate (du/dy) is:

  • Directly proportional
  • The graph of τ vs du/dy is a straight line passing through origin

This simple relation was first proposed by Sir Isaac Newton, so such fluids are called Newtonian fluids.

Basic terms – shear stress, shear rate, viscosity

Before going further, remember three basic terms:

1. Viscosity (μ)

  • "Thick or thin" nature of a fluid
  • High viscosity → fluid is thick (like honey)
  • Low viscosity → fluid is thin (like water)

2. Shear stress (τ)

  • Tangential force per unit area acting on a fluid layer because of motion
  • Units: N/m² or Pa
  • Imagine one layer of liquid dragging the next layer along.

3. Shear rate (du/dy)

  • How fast one layer moves compared to the next
  • du = change in velocity, dy = distance between layers
  • Units: s⁻¹

For a Newtonian fluid, viscosity is constant, and:

Shear stress ∝ shear rate

In industrial mixing, the idea of a Newtonian fluid is directly used when designing an industrial agitator, because most standard formulas for power, Reynolds number and flow patterns assume that viscosity stays constant. For common Newtonian liquids like water, thin oils and many solvents, engineers can reliably use these Newtonian based correlations to choose impeller type, size, speed and motor power, and to scale up from a lab mixer to a large industrial agitator. However, when the liquid is non Newtonian, such as thick slurries, creams, gels or ketchup type fluids, viscosity changes with shear rate near the impeller, so a single constant μ is no longer valid. In those cases the designer must use rheological data, apparent viscosity and often special low speed, high torque impellers to achieve proper mixing, heat transfer and suspension, instead of directly applying simple Newtonian fluid design rules.

Newton's Law Of Viscosity And Newtonian Fluid Mechanics

Derivation intuition and physical meaning

Consider two large parallel plates with a fluid between them:

  • Bottom plate is fixed.
  • Top plate is moved with a constant velocity U.
  • The fluid sticks to the plates (no-slip condition), so:
    • Fluid layer touching bottom plate has velocity 0
    • Fluid layer touching top plate has velocity U

If the flow is steady and laminar, the velocity between plates changes linearly from 0 to U. There is internal friction between the layers. Because of this friction:

  • A shear stress τ acts on each layer.
  • The faster the upper plate moves, the greater the shear rate and the greater the shear stress.

Newton proposed that:

τ du dy τ = μ ( du dy )

This is Newton's law of viscosity. For a Newtonian fluid, μ is a constant at a given temperature and pressure.

Formula τ = μ (du/dy) explained with units

τ = μ (du/dy)

τ (shear stress)

  • Meaning: tangential force per unit area
  • SI unit: Pa (N/m²)

μ (dynamic viscosity)

  • Meaning: measure of internal resistance to flow
  • SI unit: Pa·s
  • Example: water ≈ 0.001 Pa·s at room temperature

du/dy (shear rate)

  • Meaning: rate of change of velocity with distance
  • SI unit: s⁻¹

Example numerical (very exam-like):

Water flows between two horizontal plates 1 mm apart.
Velocity at lower plate = 0 m/s, velocity at upper plate = 1 m/s.
Take μ for water ≈ 0.001 Pa·s.

Shear rate:

du dy = 1 0 0.001 m = 1000 s 1

Shear stress:

τ = μ ( du dy ) = 0.001 × 1000 = 1 P a

So the shear stress in the water is 1 Pa.

This same concept is extended to pipe flow of Newtonian fluids (like water in pipelines), which is a very important topic for SSC JE, RRB JE, GATE and university exams.

Role of Isaac Newton in fluid mechanics

Isaac Newton developed the idea that shear stress is proportional to shear rate for certain fluids.

Fluids that obey this simple linear law are called Newtonian fluids.

He laid the foundation for Newtonian mechanics, which includes:

  • Laws of motion
  • Concepts of force, stress, strain, and viscosity

Because of him, we now have Newtonian fluid models and Navier–Stokes equations for fluid flow.

Examples Of Newtonian Fluids

Everyday examples – water, air, thin oil, alcohol

Common Newtonian fluid examples you see daily:

  • Water – in taps, tanks, rivers, irrigation channels
  • Air – flow over vehicles, in fans and AC ducts
  • Thin oils – light lubricating oils, kerosene (approx. Newtonian over some ranges)
  • Alcohols – ethanol, methanol
  • Sugar solutions and saline water – at low to moderate concentration

If you stir any of these slowly or very fast, the fluid does not suddenly become extra thick or super thin. Its viscosity stays nearly constant, so it behaves as a Newtonian liquid.

Industrial examples – hydraulic oils, simple solutions

In engineering and industry, many working fluids are approximated as Newtonian:

  • Hydraulic oils – in JCBs, excavators, industrial presses
  • Light lubricating oils – in machine tools, gearboxes
  • Simple solvent mixtures – in chemical plants
  • Dilute salt and sugar solutions – in process industry pipelines

These behave nearly as Newtonian viscous fluids under normal operating conditions, which makes calculations and design easier.

Fluids that are almost Newtonian under normal conditions

Some fluids are not perfectly Newtonian, but in a certain range of shear rates they behave almost like Newtonian. For engineering design, we often treat them as Newtonian:

  • Milk – often considered Newtonian for many flow conditions
  • Some low-viscosity polymer solutions
  • Certain refinery products at specific temperatures

This approximation is widely used in pipe flow, pump sizing, and heat exchanger design.

Newtonian And Non Newtonian Fluids – Key Differences

Viscosity behaviour and shear rate

Newtonian fluid:

  • Viscosity μ = constant (for given temperature and pressure)
  • Shear stress τ ∝ shear rate du/dy
τ du dy
  • Graph of τ vs du/dy → straight line through origin

Non Newtonian fluid:

  • Viscosity is not constant
  • It changes with shear rate or time
  • Relation between τ and du/dy is non-linear
  • Graph of τ vs du/dy → curve, not a straight line

Different types of non Newtonian fluids

Important types of non Newtonian fluid (very exam-relevant):

1. Shear thinning / pseudoplastic fluids

  • Viscosity decreases when shear rate increases.
  • Examples: ketchup, blood, lotions, shampoo, some paints.
  • Application: food processing, cosmetics, inks.

2. Shear thickening / dilatant fluids

  • Viscosity increases when shear rate increases.
  • Example: cornstarch + water mixture (oobleck).
  • At high shear, it becomes stiff or solid-like.

3. Bingham plastic / ideal plastic fluid

  • Behaves like a solid until a certain yield stress is reached.
  • After that, it flows like a fluid with almost constant viscosity.
  • Examples: toothpaste, some muds, drilling fluids.

4. Thixotropic fluids

  • At constant shear, viscosity decreases with time.
  • Example: certain paints, gels – become thinner when stirred continuously.

5. Rheopectic (rheopexic) fluids

  • At constant shear, viscosity increases with time.
  • Rare in everyday life; seen in some special suspensions and lubricants.

Ideal plastic fluid and Bingham plastic

An ideal plastic fluid (or Bingham plastic fluid) is not Newtonian. Its behaviour:

  • For τ < yield stress → behaves like a solid, no flow
  • For τ ≥ yield stress → starts flowing and then behaves almost like a Newtonian fluid

Examples:

  • Toothpaste in a tube
  • Some clays, drilling muds, thick slurries

In exams, remember: Bingham plastic = non Newtonian fluid with yield stress.

Bubbles, drops and particles in non Newtonian fluids (conceptual overview)

When bubbles, droplets or solid particles move through non Newtonian fluids, their motion is more complex than in Newtonian fluids because:

  • Effective viscosity changes around the moving bubble/particle
  • Drag force and terminal velocity can be quite different
  • Flow patterns can become asymmetric or unusual

This is important in:

  • Food industry – gas bubbles in sauces, yogurt, etc.
  • Chemical reactors – solid particles in non Newtonian suspensions
  • Blood flow – red blood cells in non Newtonian plasma

For exam level, just remember: non Newtonian behaviour affects bubbles, drops and particles significantly, making analysis more complicated than for Newtonian fluids.

Flow Of Newtonian And Non Newtonian Fluids In A Pipe

Laminar flow of Newtonian fluid

For Newtonian fluid flow in a circular pipe under laminar conditions:

  • Viscosity is constant
  • Velocity profile is parabolic: maximum at centre, zero at pipe wall
  • Pressure drop can be calculated using Hagen–Poiseuille equation and Reynolds number

This is the standard model for water flow and other Newtonian fluids in small pipes at low velocities.

How non Newtonian behaviour changes velocity profile

For non Newtonian fluids:

  • Viscosity changes with shear rate
  • Velocity profile may not be parabolic
  • Some fluids show a flatter profile in the centre (for shear-thinning fluids)
  • Others may have sharper gradients (for shear-thickening fluids)

Therefore:

  • We must use special rheological models like power law, Bingham model, Herschel–Bulkley model, etc.
  • Pipe flow of non Newtonian fluids is more complex to analyse.

Practical impact on pumping power and pipe design

Because viscosity behaviour is different:

  • Pump selection must consider how viscosity changes with shear rate
  • Pressure drop calculation becomes more difficult
  • Energy consumption can be higher or lower depending on fluid type
  • Pipe diameter and material selection may change

For Newtonian fluids, calculations are simpler and more standard, which is why water and other Newtonian fluids are often preferred where possible.

Applications Of Newtonian Fluids In Real Life And Engineering

Water supply and municipal pipelines in India

  • Water behaves approximately as a Newtonian fluid.
  • Used in city water supply, rural water schemes, irrigation canals.
  • Newtonian fluid assumptions help in:
    • Designing pipe diameters
    • Estimating head loss and pump power
    • Planning municipal networks in Indian cities and towns

Industrial processing, food, pharma and cosmetics

Many low-viscosity process fluids are Newtonian or nearly Newtonian:

  • Solvents and light oils – in chemical and petrochemical plants
  • Dilute sugar and salt solutions – in food and beverage industry
  • Certain liquid drugs and syrups – in pharmaceutical plants

In India, these appear in:

  • Dairy plants, soft drink bottling plants, edible oil refineries
  • Fertiliser and chemical factories
  • Pharma and cosmetic manufacturing units

Newtonian behaviour makes pump and pipeline design, filling and mixing operations more predictable.

Role in hydraulic and lubrication systems

Newtonian hydraulic oils and lubricants are used in:

  • JCBs, excavators, cranes, tractors at construction and farm sites
  • Industrial presses, injection moulding machines, forging hammers
  • Vehicle braking and steering systems

Because viscosity is reasonably constant:

  • Control response is more predictable
  • Component design (valves, cylinders, seals) is simplified
  • Maintenance and troubleshooting become easier

Newtonian Fluid In Exams And Career

Importance in SSC JE, RRB JE, GATE and university exams

For Indian students, Newtonian fluid is a very common topic in:

  • SSC JE (Mechanical, Civil)
  • RRB JE
  • GATE (Mechanical, Civil, Chemical)
  • State PSC and university exams

Typical questions:

  • "Define Newtonian fluid and give examples."
  • "State Newton's law of viscosity."
  • "Compare Newtonian and non Newtonian fluids."
  • Simple numericals using τ = μ (du/dy) and pipe flow.

Newtonian vs non Newtonian questions often asked

Common exam patterns:

  • Theoretical: short notes on Newtonian fluid, non Newtonian fluid, Bingham plastic, pseudoplastic, dilatant fluid, etc.
  • Conceptual MCQs: which fluid is Newtonian? is blood Newtonian? is toothpaste Bingham plastic?
  • Numerical: calculate shear stress, velocity gradient, viscosity, pressure drop for given flow conditions.

How this topic matters in mechanical and civil jobs

In jobs related to:

  • Water supply and sewerage (civil engineering)
  • Process plants, refineries, power plants (mechanical / chemical)
  • Design of pumps, pipelines, hydraulic machines

Engineers routinely assume some fluids as Newtonian, especially water and light oils, and design systems based on Newtonian fluid mechanics.

Understanding Newtonian behaviour helps in:

  • Making correct assumptions
  • Selecting pumps and pipe sizes
  • Interpreting real-life deviations when fluids are actually non Newtonian.

Newtonian vs Non Newtonian Fluids

Property Newtonian fluid Non Newtonian fluid Simple example
Viscosity behaviour Constant with shear rate Changes with shear rate or time Water (Newtonian), ketchup (non Newtonian)
Shear stress vs shear rate relation Linear (straight line) Non-linear (curved) Graph passes through origin for Newtonian
Formula τ = μ (du/dy), where μ is constant Complex models needed Newton's law vs power law, Bingham model
Design calculations Simple and predictable Complex, needs rheological data Easy pump selection vs specialized analysis

Examples of Newtonian Fluids

Fluid State (liquid/gas) Approximate viscosity at room temperature Typical use in India
Water Liquid 0.001 Pa·s Drinking water, cooling, irrigation
Air Gas ~0.000018 Pa·s Ventilation, AC systems, wind engineering
Thin engine oil Liquid 0.05–0.1 Pa·s (approx.) Vehicle lubrication, machine tools
Ethanol (alcohol) Liquid ~0.0012 Pa·s Solvents, pharmaceutical industry
Kerosene Liquid ~0.002 Pa·s Fuel for lamps, stoves, jet engines

Types of Non Newtonian Fluids

Type Behaviour of viscosity Simple everyday example Typical application
Shear thinning (pseudoplastic) Viscosity decreases with increasing shear rate Ketchup, shampoo Food processing, cosmetics
Shear thickening (dilatant) Viscosity increases with increasing shear rate Cornstarch + water (oobleck) Body armor, impact protection
Bingham plastic Has yield stress, then flows with constant viscosity Toothpaste, drilling mud Drilling operations, consumer products
Thixotropic Viscosity decreases with time at constant shear Some paints, gels Paints, printing inks
Rheopectic Viscosity increases with time at constant shear Some lubricants Specialized industrial applications

Applications of Newtonian Fluids

Application area Newtonian fluid used Real life Indian example Why Newtonian behaviour helps
Hydraulic systems Hydraulic oil JCB, excavators at construction sites Predictable fluid behaviour makes design and control easier
Water supply Water Municipal pipelines, irrigation canals Simple calculation of head loss and pump requirements
Industrial processing Solvents, light oils Chemical plants, refineries Standard formulas work for mixing, pumping, heat transfer
Lubrication Machine oils Gearboxes, bearings in factories Consistent performance and maintenance scheduling
Cooling systems Water, coolants Thermal power plants, AC systems Reliable heat transfer calculations

Formula and Symbols (Newton's Law of Viscosity)

Formula Symbol Meaning SI unit Example value
τ = μ (du/dy) τ Shear stress Pa (N/m²) 1 Pa in the example calculation
τ = μ (du/dy) μ Dynamic viscosity Pa·s 0.001 Pa·s for water at 20°C
τ = μ (du/dy) du/dy Shear rate (velocity gradient) s⁻¹ 1000 s⁻¹ in the example calculation

Short Bullet Lists And Exam Tips

Common Newtonian fluids and their uses

  • Water – drinking, irrigation, cooling in thermal and nuclear plants
  • Air – ventilation, air-conditioning ducts, wind flow over structures
  • Thin engine oils – lubrication in vehicles and machines
  • Kerosene and light fuels – pumps and burners
  • Dilute salt/sugar solutions – process industry pipelines

Quick checklist – Is a fluid Newtonian?

Ask yourself:

  • Is viscosity roughly constant for the range of shear rates of interest?
  • Is shear stress proportional to shear rate (straight line graph)?

If yes → Most likely Newtonian (for that operating range).

Mini comparison: Newtonian vs ideal plastic vs shear thinning

  • Newtonian fluid → No yield stress, constant viscosity, linear τ–γ̇ relation.
  • Ideal plastic fluid (Bingham plastic) → Has yield stress, then almost Newtonian.
  • Shear thinning fluid → No yield stress (generally), but viscosity decreases as shear rate increases.

Exam corner (for SSC JE, RRB JE, GATE)

  • Always write Newton's law of viscosity clearly: τ = μ (du/dy).
  • Remember at least two Newtonian and two non Newtonian examples.
  • Know Bingham plastic definition and example (toothpaste).
  • Understand basic difference in τ–γ̇ graph: straight line vs curve.
  • Practise one numerical on shear stress or viscosity for exam speed.

Summary – Key Takeaways About Newtonian Fluids

  • A Newtonian fluid has constant viscosity at given temperature and pressure.
  • It obeys Newton's law of viscosity: τ = μ (du/dy).
  • Shear stress is directly proportional to shear rate → straight line τ–γ̇ graph.
  • Water, air, thin oils, alcohol, simple solutions are typical Newtonian fluids.
  • Non Newtonian fluids (ketchup, toothpaste, blood) have viscosity that changes with shear rate or time.
  • Understanding Newtonian and non Newtonian fluids is essential for pipe flow, pump design and many Indian engineering exams (SSC JE, RRB JE, GATE).

FAQs On Newtonian And Non Newtonian Fluids

Q1. What is a Newtonian fluid in simple words?

A Newtonian fluid is a liquid or gas whose viscosity stays constant, so the shear stress is directly proportional to shear rate. Water and air are common examples of Newtonian fluids.

Q2. What is the main difference between Newtonian and non Newtonian fluids?

In a Newtonian fluid, viscosity is constant and the relation between shear stress and shear rate is linear. In non Newtonian fluids, viscosity changes with shear rate or time, so the relation is non-linear.

Q3. What is an example of non Newtonian fluid used in daily life?

Common non Newtonian fluids are ketchup, toothpaste, paint and blood. Their viscosity changes when you shake, press or stir them, so they are not Newtonian.

Q4. What is meant by ideal plastic fluid or Bingham plastic fluid?

An ideal plastic fluid (Bingham plastic) behaves like a solid until a certain yield stress is crossed, and then flows like a fluid. It is a type of non Newtonian fluid, not a Newtonian one.

Q5. How is the flow of non Newtonian fluids in a pipe different from Newtonian fluid flow?

For Newtonian fluid flow, velocity profile and pressure drop can be calculated using simple formulas because viscosity is constant. For non Newtonian fluids, viscosity changes with shear rate, so special rheological models must be used to calculate velocity profile and pressure drop.

Q6. Where are Newtonian fluids used in real life in India?

Newtonian fluids like water and low-viscosity oils are used in water supply pipelines, cooling systems, hydraulic systems, lubrication in machines, and many process industries across India.

Q7. Is blood a Newtonian or non Newtonian fluid?

Blood is usually treated as a non Newtonian fluid because its viscosity changes with shear rate and it shows shear thinning behaviour.

Q8. What is a non Newtonian fluid with anti Newtonian behaviour?

Informally, some people say anti Newtonian fluid for fluids that show behaviour strongly opposite to simple Newtonian fluids, for example strongly shear thickening suspensions, where viscosity increases sharply with shear rate.

Q9. How are Newtonian fluids important in Newtonian physics and engineering exams?

Newtonian fluids directly follow Newtonian physics and Newton's law of viscosity, so they are easier to model mathematically. Questions on Newtonian fluid meaning, Newtonian fluid flow, and comparison of Newtonian and non Newtonian fluids are very common in mechanical and civil engineering exams in India.