What Is Apparent Viscosity and Shear Rate?

Struggling with inconsistent fluid behavior in your processes? Non-Newtonian fluids causing production headaches and unpredictable results? Understanding apparent viscosity and shear rate is the key to solving these issues.

Apparent viscosity is a measure of a fluid's resistance to flow under a specific applied shear rate. Shear rate quantifies how fast different layers of a fluid are moving relative to each other. Both are vital for characterizing non-Newtonian fluids.

As a manufacturer of rotational viscometers at Martests for over a decade, I've observed that understanding apparent viscosity and shear rate is crucial for accurate fluid characterization. Many of our European clients, particularly in paint and coating industries, rely heavily on these measurements for quality control and product development. This knowledge directly impacts their production efficiency. This insight is why we emphasize these parameters when discussing fluid behavior with our partners, from large instrument distributors to specialized resellers. Let's explore these important concepts more.

What Is the Relationship Between Apparent Viscosity and Shear Rate?

Does your fluid's thickness seem to change when you stir it or pump it? Are you confused why its viscosity isn't just one constant number? The relationship between apparent viscosity and shear rate explains this common behavior in many materials.

For non-Newtonian fluids, apparent viscosity changes significantly with the applied shear rate. It typically decreases for shear-thinning fluids (like paint) and increases for shear-thickening fluids as the shear rate goes up.

This relationship is fundamental to understanding how many common materials behave.

Newtonian vs. Non-Newtonian Fluids

First, it is helpful to distinguish between two main types of fluids. Newtonian fluids, like water or simple oils, have a constant viscosity regardless of the shear rate applied. Their shear stress is directly proportional to the shear rate.

Non-Newtonian fluids are different. Their viscosity changes when the shear rate changes. This is why we use the term "apparent viscosity" – it is the viscosity that appears under specific conditions.

Types of Non-Newtonian Behavior

There are several ways non-Newtonian fluids respond to shear:

  • Shear-thinning (Pseudoplastic): Here, the apparent viscosity decreases as the shear rate increases. Think of ketchup. It is thick in the bottle (low shear), but flows easily when you squeeze it (high shear). Paints are another classic example. My client Jacky in Italy, who resells viscometers, often explains this to his paint industry customers. The paint needs to flow well when brushed (high shear) but not drip too much from the can (low shear).
  • Shear-thickening (Dilatant): In this case, the apparent viscosity increases as the shear rate increases. A mixture of cornstarch and water is a good example; it becomes very hard to stir quickly.
  • Thixotropic/Rheopectic (Time-dependent): Some fluids also show time-dependent viscosity. Thixotropic fluids become less viscous over time under constant shear, like yogurt. Rheopectic fluids become more viscous over time.

Our rotational viscometers at Martests are designed to measure these varying behaviors by applying controlled shear rates, giving valuable insights.

How Do You Calculate Apparent Viscosity and Shear Rate?

Do you need to put actual numbers to your fluid's flow characteristics? Are you unsure how to get these values for your quality control or research? Calculating apparent viscosity and shear rate is essential for process control and product development.

Shear rate is calculated based on the viscometer's geometry (spindle type) and its rotational speed. Apparent viscosity is then determined by dividing the shear stress (derived from torque) by this calculated shear rate. Rotational viscometers are common tools for these measurements.

Getting these values accurately is a core function of many viscometers.

Calculating Shear Rate (γ̇)

Shear rate is a measure of how quickly the fluid is being deformed. For rotational viscometers, like those we manufacture at Martests, the shear rate depends on two main things: the geometry of the spindle used and the rotational speed (RPM) you set.

Each specific spindle type (like cylindrical, disc, or cone-plate spindles) has a defined shear rate constant or factor. The basic formula is often:
Shear Rate (γ̇) = Spindle Factor × RPM

We provide these spindle factors with our Martests viscometers to ensure users can determine shear rates accurately. I remember working with a distributor in Germany. They had a customer in the specialized coatings field who needed very precise shear rate data for their application. We ensured they had all the necessary geometric information for our spindles.

Calculating Shear Stress (τ)

Shear stress is the force per unit area needed to make the fluid flow. In a rotational viscometer, this is related to the torque (rotational force) required to turn the spindle in the fluid. The formula is typically:
Shear Stress (τ) = Torque Factor × % Torque Reading from Viscometer

Calculating Apparent Viscosity (ηa)

Once you have both the shear stress and the shear rate, calculating apparent viscosity is straightforward:
Apparent Viscosity (η<sub>a</sub>) = Shear Stress (τ) / Shear Rate (γ̇)

Many modern digital viscometers, including our top-quality models, can perform these calculations automatically. They display the apparent viscosity directly, which really improves ease of operation, a feature many of our B2B customers value.

Why Is Apparent Viscosity Important in non-Newtonian Fluids?

Are you dealing with tricky fluids like paints, foods, or polymers where a single viscosity value just doesn't tell the whole story? Is this making your quality control or product formulation difficult? Apparent viscosity is crucial for understanding and managing non-Newtonian materials.

Apparent viscosity describes how non-Newtonian fluids actually behave under specific flow conditions (shear rates). This is vital for predicting their performance in real-world situations like pumping, mixing, coating, or consumer use.

For these types of fluids, a single viscosity number is often misleading.

Predicting Real-World Behavior

Non-Newtonian fluids do not have one fixed, intrinsic viscosity. Their "thickness" or resistance to flow changes depending on how they are being handled or processed. Apparent viscosity helps us understand this:

  • Processability: It tells us how a fluid will behave during manufacturing. For example, how easily can it be pumped through pipes, mixed in a tank, or filled into containers? A shear-thinning food product, for instance, will require less energy to pump at higher flow rates because its apparent viscosity drops.
  • Application Performance: It predicts how a product will perform when used by the end-user. Paint is a great example. It needs to have a low apparent viscosity at high shear rates (when being brushed or sprayed for easy application) but a higher apparent viscosity at low shear rates (to prevent sagging or dripping on the surface or from the brush). This is a very frequent topic of discussion with our clients in the paint and coatings industries across Europe and Southeast Asia.
  • Stability: It can also relate to how well a product maintains its consistency over time, for example, preventing particles from settling in a suspension.

Quality Control

Measuring apparent viscosity at one or more defined shear rates is a key method for ensuring batch-to-batch consistency of non-Newtonian products. Our customers, particularly distributors who apply their own logos to our viscometers, rely on this capability. It helps them assure their own customers of product reliability. I recall a client in Southeast Asia who manufactures cosmetic lotions. They found that understanding the apparent viscosity of their lotion at different shear rates was the key to solving an issue they had with its texture and how it dispensed from the bottle.

What Factors Affect Apparent Viscosity Measurements?

Are you getting inconsistent viscosity readings and wondering why? Could something be influencing your results without you realizing it? Many factors can affect apparent viscosity measurements, and controlling them is vital for accuracy.

Key factors influencing apparent viscosity measurements include temperature, the specific shear rate applied, the shear history of time-dependent fluids, pressure, sample preparation techniques, and the calibration of the viscometer itself.

Being aware of these factors is the first step to reliable data.

Critical Influencing Variables

Several variables can significantly impact your apparent viscosity readings:

  • Temperature: This is a major one. The viscosity of most fluids is very sensitive to temperature changes. Generally, a higher temperature means lower viscosity. Therefore, precise temperature control during the measurement is essential. Many of our Martests rotational viscometers offer integrated temperature control options or at least accurate temperature probes because we know how critical this is.
  • Shear Rate: As we have discussed, for non-Newtonian fluids, the apparent viscosity is, by definition, dependent on the shear rate. You must specify the shear rate at which a measurement was taken.
  • Shear History: For fluids that are thixotropic (thin over time with shear) or rheopectic (thicken over time with shear), the previous shearing the sample has experienced will affect the current viscosity reading. It is important to have a consistent pre-shear protocol for such samples. I remember conducting a training session for a client in the Middle East who was testing drilling muds, where shear history is very important.
  • Pressure: While most standard laboratory viscometry is done at atmospheric pressure, pressure can significantly affect viscosity in certain applications, such as in deep-sea oil extraction or high-pressure chemical processing.
  • Sample Handling & Preparation: The way you handle and prepare your sample matters. Is the sample homogenous? Are there air bubbles trapped in it? Has the sample aged or changed since it was produced? All these can skew your results.
  • Viscometer Calibration & Spindle Choice: It is fundamental to use a viscometer that is properly calibrated with traceable standards. Also, choosing the correct spindle for the viscosity range of your fluid is crucial for accurate results. We always stress the importance of regular calibration checks and correct spindle selection to our distributors and their end-users.

How Do Temperature and Pressure Affect Apparent Viscosity?

Are you noticing that your fluid's viscosity changes with different processing temperatures or under varying pressures? Why do these environmental factors have such a strong influence? Temperature and pressure can drastically alter how a fluid flows.

Generally, an increase in temperature leads to a decrease in apparent viscosity for liquids. Conversely, an increase in pressure usually causes an increase in apparent viscosity. The magnitude of these effects varies greatly among different fluids.

Understanding these effects is important for accurate measurement and process design.

Impact of Temperature

Temperature has a very strong effect on viscosity. When the temperature of a liquid increases, its molecules gain more kinetic energy and move around more actively. This increased molecular motion makes it easier for the molecules to slide past each other, reducing the internal friction, which is what viscosity measures. So, for most liquids, apparent viscosity decreases as temperature rises.

The relationship is often exponential. This means even a small change in temperature can cause a significant change in viscosity. For consistent and comparable results, precise temperature control during viscosity measurement is vital. We often recommend control to within ±0.1°C for sensitive applications. This is a key feature in many advanced viscometers, including some of the top-quality models we offer at Martests. Many of our B2B clients, especially those serving pharmaceutical or food industries, demand this level of precision.

Impact of Pressure

Pressure also affects apparent viscosity, though its impact is often less commonly considered in routine lab work unless specific high-pressure applications are involved. When pressure on a liquid increases, the molecules are forced closer together. This closer packing increases the intermolecular attractive forces and makes it more difficult for the molecules to move past one another. As a result, the resistance to flow, or viscosity, generally increases.

This effect is usually more significant for liquids than for gases. While standard laboratory viscometers, like most of our range at Martests, operate at atmospheric pressure, specialized high-pressure viscometers are available. These are used in industries like oil reservoir analysis or for studying chemical processes under high pressure. I once had an interesting inquiry from a company in the Middle Eastern oil sector about high-pressure viscometry options, which highlighted its specialized importance.

What Industries Rely on Apparent Viscosity Measurements?

Are you curious about where understanding apparent viscosity is not just useful, but a complete game-changer? Which specific sectors depend heavily on these precise values for their success? Many diverse industries rely on accurate apparent viscosity data every day.

Industries like paints and coatings, food and beverages, cosmetics, pharmaceuticals, polymers, petroleum, and adhesives extensively use apparent viscosity measurements for quality control, research and development, and process optimization.

The need to understand and control fluid flow is widespread.

Diverse Applications Across Sectors

Here are just a few examples of how different industries use apparent viscosity:

  • Paints & Coatings: This is a major area. Apparent viscosity determines how paint flows from the can, levels on a surface, resists sagging on vertical applications, and behaves during spraying. Our European clients, like Jacky in Italy who serves this market, often emphasize the need for reliable apparent viscosity data.
  • Food & Beverages: Think about the texture (mouthfeel) of sauces, yogurts, or dressings. Apparent viscosity is key for pumpability during production, fillability into containers, and maintaining stability (e.g., preventing separation in sauces or dairy products).
  • Cosmetics & Personal Care: The spreadability of lotions, the consistency of creams, and the flow of shampoos and conditioners are all related to apparent viscosity.
  • Pharmaceuticals: Critical for the manufacturing of suspensions, ointments, gels, and injectable solutions. It helps ensure correct dosage, stability, and patient acceptability.
  • Polymers: Important for characterizing polymer melts for processes like extrusion and injection molding, as well as polymer solutions used in coatings or other applications.
  • Petroleum Industry: Used to understand the flow behavior of crude oil in pipelines, the properties of drilling muds under various downhole conditions, and the performance of lubricants.
  • Adhesives & Sealants: Apparent viscosity affects application properties (e.g., how easily an adhesive can be spread), curing behavior, and ultimately the strength of the final bond.

At Martests, we have supplied our rotational viscometers to distributors who serve all these sectors across Europe, Southeast Asia, the Middle East, and South America. The common thread is the critical need to understand and control how non-Newtonian materials behave in their specific real-world processes. Offering features like customizable logos on our top-quality instruments helps our distributor partners build their own brand recognition and trust within these diverse and demanding markets.

Conclusion

Understanding apparent viscosity and shear rate is essential when working with non-Newtonian fluids. These concepts empower better quality control, drive product development, and lead to more efficient processing across many industries.

Stefan Wang

Hi, I’m the author of this post, and I have been in this field for more than 15 years. If you have any questions, please feel free to ask me.

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