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.
Which of the following is the dimensionless parameter?
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.
Which of the following is not the 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. To understand it, first let us know that viscosity is the resistance offered by a fluid to flow.
How many dimensionless parameters are there?
The
six dimensionless
numbers give the relative strengths of the different phenomena of inertia, viscosity, conductive heat transport, and diffusive mass transport.
Which one of the following is dimensionless number?
All pure numbers are dimensionless quantities, for example
1, i, π, e, and φ
. Units of number such as the dozen, gross, googol, and Avogadro’s number may also be considered dimensionless.
Which of the following is a dimensionless quantity Examveda?
Strain
is a non-dimensional quantity.
Which of the following is not dimensionless numbers?
This means that
angular momentum
is not a dimensionless quantity. Therefore, no given quantities are dimensionless. So, the correct answer is “Option D”.
Is specific speed dimensionless parameter?
The specific speed is, therefore,
not a dimensionless quantity
.
Is friction factor a dimensionless parameter?
Darcy friction factor, in fluid dynamics. Fanning friction factor, a
dimensionless number
used as a local parameter in continuum mechanics.
Is cP kinematic or dynamic viscosity?
The term
dynamic
or absolute is used for this viscosity measurement. The formula for dynamic or absolute viscosity is 1 centipoise (cP) equals 1 millipascal-second (mPa-s). Pascal is a unit of force just like horsepower. Therefore, this type of viscosity measurement requires an external force in order to be measured.
How do you find dimensionless parameters?
Once j is found, the number of dimensionless parameters (or “Pi” groups) expected is
k = n – j
, where k is the number of Pi groups. This equation relating k to n and j is part of the Buckingham Pi Theorem.
What is the units of viscosity?
The unit of viscosity, accordingly, is
newton-second per square metre
, which is usually expressed as pascal-second in SI units. The viscosity of liquids decreases rapidly with an increase in temperature, and the viscosity of gases increases with an increase in temperature.
What do dimensionless numbers mean?
[ dĭ-mĕn′shən-lĭs ]
A number representing a property of a physical system, but not measured on a scale of physical units
(as of time, mass, or distance). Drag coefficients and stress, for example, are measured as dimensionless numbers.
What is the importance of dimensionless numbers?
Dimensionless numbers have high importance in the field of fluid mechanics as
they determine behavior of fluid flow in many aspects
. These dimensionless forms provides help in computational work in mathematical model by sealing.
What is dimensionless formula?
The dimensionless numbers are ratios that indicate the importance of a term of the equation with respect to the reference term. In particular, if
the equation has been divided by the convective term
, the dimensionless numbers indicate the importance of the various terms with respect to transport by convection.
Is refractive index is dimensionless quantity?
n is the refractive index of the medium. v is the velocity of light in that particular medium. c is the velocity of the light in vacuum. So, we can say that the refractive index is a
dimensionless quantity
.
