List-I List-II (Dimensionless number) (Types of forces) (A). Euler's number (I). Pressure force (B). Froude's number (II). Gravity force (C). Mach number (III). Surface Tension (D). Weber number (IV). Compressibility force
Choose the correct answer from the options given below:
Dimensionless Numbers in Fluid Mechanics Explained
Dimensionless numbers are crucial in fluid mechanics as they help in comparing different physical phenomena and scaling results from models to full-scale applications. They represent the ratio of different forces acting within a fluid flow. This section details the matching of specific dimensionless numbers with the types of forces they represent.
Matching Fluid Forces with Dimensionless Numbers
The question requires matching the dimensionless numbers in List-I with the dominant forces they represent in List-II.
Euler's Number and Pressure Forces
Euler's number (Eu) is typically defined as the ratio of pressure forces to inertial forces within a fluid. It is used in situations involving pressure differences and flow. Therefore, Euler's number corresponds to Pressure force.
Froude's Number and Gravity Forces
Froude's number (Fr) is important in flows where gravity forces are significant, such as open channel flow or wave motion. It represents the ratio of inertial forces to gravitational forces. Thus, Froude's number is associated with Gravity force.
Mach Number and Compressibility Forces
The Mach number (M) compares the speed of an object or fluid flow to the speed of sound within that fluid. It is a critical parameter in analyzing compressible flows, where the density changes significantly due to pressure variations. It relates inertial forces to compressibility forces. Therefore, Mach number corresponds to Compressibility force.
Weber Number and Surface Tension Forces
The Weber number (We) is used in situations where interfacial effects are important, particularly in multiphase flows or atomization processes. It represents the ratio of inertial forces to surface tension forces. Hence, Weber number relates to Surface Tension.
Correct Matching Summary
Based on the analysis of each dimensionless number:
- (A) Euler's number matches with (I) Pressure force.
- (B) Froude's number matches with (II) Gravity force.
- (C) Mach number matches with (IV) Compressibility force.
- (D) Weber number matches with (III) Surface Tension.
The correct option that reflects this matching is (A) - (I), (B) - (II), (C) - (IV), (D) - (III).
Important Questions from Mixed Topic (CUET PG)
- Who was the founder of Bolshevik Communist party?
- What is the key guide to statecraft in the realist tradition?
- Chronologically arrange the events in the Cold War period.
A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
Choose the correct answer from the options given below: Morgenthau's principles of political realism are:
A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
