Fluid Dynamics Principles: Flow, Continuity, and Bernoulli’s Equation
Fluid Dynamics Principles
Dynamics and Fluids studies the laws applied to moving liquids.
Power Line
The trajectory q describes a particle moving.
Fluid Flow Tube
The set of infinite laminar flow streamlines and stationary: a particle in q is a fluid particle that follows the path of another particle = q. What happened before the point?
Turbulent Flow
q is a point in the fluid where particles move wildly, changing their velocity in both magnitude and direction.
Continuity Equation
Flow in a tube of variable section: with no income or output of fluid, the liquid quantity q must pass through a cross-section (dxc) at a constant rate. Therefore, q [Area(A) x Velocity(V) = constant]. If we take the flux tube sections 1 and 2 in wide and narrow parts, the previous result can be noted as A1V1 = A2V2.
Flow
q = volume of water passing a cross-section of a tube per unit time. Flow equation.
Bernoulli’s Principle
We have hitherto considered the process of a liquid moving horizontally (q). However, liquids can move vertically (up or down), as in the case of a river descending (q). Bernoulli’s equation provides that the sum of pressure, kinetic energy per unit volume, and potential energy per unit volume along a streamline is constant. This is mathematically written as:
P1 + 1/2ρv12 + ρgh1 = P2 + 1/2ρv22 + ρgh2
Fluid Dynamics Principles
Dynamics and Fluids studies the laws applied to moving liquids.
Power Line
The trajectory q describes a particle moving.
Fluid Flow Tube
The set of infinite laminar flow streamlines and stationary: a particle in q is a fluid particle that follows the path of another particle = q. What happened before the point?
Turbulent Flow
q is a point in the fluid where particles move wildly, changing their velocity in both magnitude and direction.
Continuity Equation
Flow in a tube of variable section: with no income or output of fluid, the liquid quantity q must pass through a cross-section (dxc) at a constant rate. Therefore, q [Area(A) x Velocity(V) = constant]. If we take the flux tube sections 1 and 2 in wide and narrow parts, the previous result can be noted as A1V1 = A2V2.
Flow
q = volume of water passing a cross-section of a tube per unit time. Flow equation.
Bernoulli’s Principle
We have hitherto considered the process of a liquid moving horizontally (q). However, liquids can move vertically (up or down), as in the case of a river descending (q). Bernoulli’s equation provides that the sum of pressure, kinetic energy per unit volume, and potential energy per unit volume along a streamline is constant. This is mathematically written as:
P1 + 1/2ρv12 + ρgh1 = P2 + 1/2ρv22 + ρgh2
Fluid Dynamics Principles
Dynamics and Fluids studies the laws applied to moving liquids.
Power Line
The trajectory q describes a particle moving.
Fluid Flow Tube
The set of infinite laminar flow streamlines and stationary: a particle in q is a fluid particle that follows the path of another particle = q. What happened before the point?
Turbulent Flow
q is a point in the fluid where particles move wildly, changing their velocity in both magnitude and direction.
Continuity Equation
Flow in a tube of variable section: with no income or output of fluid, the liquid quantity q must pass through a cross-section (dxc) at a constant rate. Therefore, q [Area(A) x Velocity(V) = constant]. If we take the flux tube sections 1 and 2 in wide and narrow parts, the previous result can be noted as A1V1 = A2V2.
Flow
q = volume of water passing a cross-section of a tube per unit time. Flow equation.
Bernoulli’s Principle
We have hitherto considered the process of a liquid moving horizontally (q). However, liquids can move vertically (up or down), as in the case of a river descending (q). Bernoulli’s equation provides that the sum of pressure, kinetic energy per unit volume, and potential energy per unit volume along a streamline is constant. This is mathematically written as:
P1 + 1/2ρv12 + ρgh1 = P2 + 1/2ρv22 + ρgh2
Fluid Dynamics Principles
Dynamics and Fluids studies the laws applied to moving liquids.
Power Line
The trajectory q describes a particle moving.
Fluid Flow Tube
The set of infinite laminar flow streamlines and stationary: a particle in q is a fluid particle that follows the path of another particle = q. What happened before the point?
Turbulent Flow
q is a point in the fluid where particles move wildly, changing their velocity in both magnitude and direction.
Continuity Equation
Flow in a tube of variable section: with no income or output of fluid, the liquid quantity q must pass through a cross-section (dxc) at a constant rate. Therefore, q [Area(A) x Velocity(V) = constant]. If we take the flux tube sections 1 and 2 in wide and narrow parts, the previous result can be noted as A1V1 = A2V2.
Flow
q = volume of water passing a cross-section of a tube per unit time. Flow equation.
Bernoulli’s Principle
We have hitherto considered the process of a liquid moving horizontally (q). However, liquids can move vertically (up or down), as in the case of a river descending (q). Bernoulli’s equation provides that the sum of pressure, kinetic energy per unit volume, and potential energy per unit volume along a streamline is constant. This is mathematically written as:
P1 + 1/2ρv12 + ρgh1 = P2 + 1/2ρv22 + ρgh2