Fluid Mechanics: 2D Momentum Equation

The momentum equation is used to determine the resultant force acting on the boundary of _____ passage by a stream of fluid.

The continuity of mass flow across the control volume can be expressed as 𝜌1 𝐴1 ______ = 𝜌2 𝐴2 𝑣2 = ṁ

The rate of change of momentum of fluid in x-direction is given by 𝐹𝑥 = 𝑚̇(𝑣2 ____ 𝑣1 𝑐𝑜𝑠𝜃).

The rate of change of ______ across the control volume can be expressed as 𝜌2 𝐴2 𝑣2 𝑣2 − 𝜌1 𝐴1 𝑣1 𝑣1

The ______ equation for 1-dimensional flow in a straight line is 𝐹 = 𝑚(𝑣2 − 𝑣1 )

The total force exerted on the fluid in a control volume in a given direction is equal to the rate of change of _____ in the given direction of fluid passing through the control volume.

The force F is the resultant force acting on the fluid element ABCD in the direction of ______

The force exerted by the fluid on the surroundings will be equal and _____ to the resultant force.

The momentum equation is used to calculate the ______ exerted by the fluid on its surroundings

The momentum equation is used to solve problems involving _____ enlargement in a pipe.

The component velocities in the z-direction are denoted by 𝑉𝑧1 and 𝑉𝑧2 in the case of _____ flow.

In a 2-dimensional problem, the velocity 𝑣1 makes an angle of 𝜃 with the ______-axis

The momentum and force are resolved into components in the ______ and y directions

The momentum equation is used to determine the characteristics of flow when there is an _____ change of flow section.

The mass flow rate per unit time is represented by the symbol ______

The application of impulse-momentum equation is used to solve problems involving _____ propulsion.

The velocity of a fluid in general is a function of _______ and time.

The acceleration of a fluid is given by the equation 𝑎 = 𝑎𝑥 𝑖 + 𝑎𝑦 𝑗 + 𝑎𝑧 _______.

The resultant velocity of a fluid is given by the equation 𝑣 = √𝑢2 + 𝑣2 + 𝑤2, where 𝑣 is the _______ velocity.

The acceleration vector of a fluid is given by the equation 𝑎 = (𝑢 ∂x + 𝑣 ∂y + 𝑤 ∂z) + ∂_______.

Fluid flow can be classified into _______ and unsteady flows.

The velocity vector of a fluid is given by the equation 𝑣 = 𝑢𝑖 + 𝑣𝑗 + 𝑤_______.

The magnitude of the acceleration vector of a fluid is given by the equation |𝑎| = √𝑎𝑥2 + 𝑎𝑦2 + 𝑎𝑧2, where 𝑎 is the _______ acceleration.

Vectorially, the acceleration of a fluid is given by the equation 𝑎 = (𝑉.∇)𝑉 + ∂_______.