What conditions are required for flow similarity?

In fluid mechanics, dynamic similarity is the phenomenon that when there are two geometrically similar vessels (same shape, different sizes) with the same boundary conditions (e.g., no-slip, center-line velocity) and the same Reynolds and Womersley numbers, then the fluid flows will be identical.

What are the necessary conditions for complete similarity for your wind tunnel model?

surroundings must be identical. Kinematic similarity requires that the model and prototype have the same length scale and the same time scale ratio. length and time scales, and no additional parameters are necessary.

How do you know if two flows are dynamically similar?

If two flows past similar bodies have the same Reynolds number, they are dynamically similar. Dynamic similarity has several uses. Solving the non-dimensional Navier-Stokes equations for one Re produces the solution for an infinite number of real flows past geometrically similar bodies all having the same Re.

What is law of similarity in fluid mechanics?

In the field of fluid mechanics, dynamic similarity means that when there are two geometrically similar items with the same shapes and different sizes, the same boundary conditions, and equal dimensionless numbers, then the fluid flows will be the same.

Under what conditions a model and the corresponding prototype are said to be kinematically similar?

(b) Kinematic similarity: If the ratio of velocity and acceleration at the corresponding points in the model and prototype are same then there exist kinematic similarity.

What is meant by dynamic similarity?

In fluid mechanics, dynamic similarity is the phenomenon that when there are two geometrically similar vessels (same shape, different sizes) with the same boundary conditions (e.g., no-slip, center-line velocity) and the same Reynolds and Womersley numbers, then the fluid flows will be identical.

What is dynamic similarity in dimensional analysis?

Dynamic similarity exists when the model and the prototype have the same length scale ratio, time scale ratio, and the force scale (mass scale) ratio. Dynamic similarity exists, simultaneously with kinematic similarity, if the model and prototype force and pressure coefficients are identical.

How can we determine whether the flow is laminar or turbulent?

Explanation: Reynold’s number is used to determine whether the flow is laminar or turbulent. If Reynold’s number is less than 2000, it is a laminar flow. If Reynold’s number is greater than 2000, then it is a turbulent flow.

How do you achieve dynamic similarity?

In order to achieve dynamic similarity, the Reynolds number of the model must also equal that of the prototype. Then, dynamic similarity assures us that the lift coefficient of the prototype will equal that of the model.

Which of the following rules are used in choosing the repeating variables in dimensional analysis?

Repeating variables should combine among themselves. 4. Repeating variables should not contain the dependent variables.

Which among the following is not a criteria to achieve similitude?

3. Which among the following is not a criteria to achieve similitude? Explanation: The criteria required to achieve similitude are geometric similarity, kinematic similarity and dynamic similarity.

What is the principle of homogeneity of dimensions?

To find the dimensions and units of more complex quantities, we use the principle of dimensional homogeneity. This simply means that, in any valid physical equation, the dimensions of both sides must be the same.

Which of the following is a dimensionless equation?

Explanation: Reynolds Number (R_e) is defined as the ratio of the Inertia force to viscous force. Since it is the ratio of two forces, it is a dimensionless parameter.

What is potential flow in fluid mechanics?

In fluid dynamics, potential flow describes the velocity field as the gradient of a scalar function: the velocity potential. As a result, a potential flow is characterized by an irrotational velocity field, which is a valid approximation for several applications.

Which of the following is not a dimensionless parameter?

The correct answer is option (3) Kinematic viscosity. A dimensionless quantity means the quantity that can be represented by M°L°T°. Here only kinematic viscosity is not dimensionless as it has dimension L2 T-1.

Which of the following quantity has M 0 L 0 T 0?

Detailed Solution



The dimension of a physical quantity: It is the power to which the fundamental units must be raised to represent the physical quantity. For example; The dimension of mass is [M1L0T0] and that of length is [M0L1T0].

What has quantity but no dimension?

question_answer Answers(1) Angle and solid angle are the physical quantities which have no dimensional formula as they are the ratios of the same physical quantity, but we measure them. Solid angle is measured in steradian.

Which physical quantity has bot as an unit?

joule

Express BOT unit in joule . BOT unit -কে joule -এ প্রকাশ করো। 1 B.O.T. यूनिट को जूल में बदलें।

Which two quantities have the same unit?

Answer: two quantities have same unit have same dimension EG-PE,KE heat energy .

Can you always add two numbers that have the same dimensions?

Answer. You can always add two numbers that have the same units. However, you cannot always add two numbers that have the same property.

Can you have the same units but different dimensions?

Answer: (A) No. Units have dimensions. For example, meters can only have the dimension for length.

Which quantity has no unit?

The quantity which has no unit is a constant term.

Does specific gravity have units?

Specific gravity is the ratio of a material’s density with that of water at 4 °C (where it is most dense and is taken to have the value 999.974 kg m^–3). It is therefore a relative quantity with no units.

Which quantity is vector among the following?

Impulse is a change in momentum and it has both magnitude and particular direction. So, impulse is a vector quantity.

What is dimension of velocity?

Units and dimensions

How do you find MLT in physics?

Video quote: So the dimension formula of a is M 0 L 0 L 2 L to the power 2 T 0 and if you go by the unit method then area the unit of a I know the unit of area is meter square.

What is vector or scalar?

A quantity that has magnitude but no particular direction is described as scalar. A quantity that has magnitude and acts in a particular direction is described as vector.