1. Continuum wave equation. Show that for long wavelengths the equation of motion,d²uM s =dt²= C(us+1+ug-1-2u), reduces to the continuum elastic wave equationwhere v is the velocity of sound.d'uôt²d²uəx²

The long wave lenghts of equation of motion reduce to the continuum elastic wave equation…

Continuum wave equation. Show that for long wavelengths the equation of motion, =C(us+1+us-1-2u), reduces to the continuum elastic wave equation Mdu dt² where v is the velocity of sound. d²u dt² d²u dx²

Continuum wave equation. Show that for long wavelengths the equation of motion, =C(us+1+us-1-2u), reduces to the continuum elastic wave equation Mdu dt² where v is the velocity of sound. d²u dt² d²u dx²

Elements Of Electromagnetics

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ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

1. Continuum wave equation. Show that for long wavelengths the equation of motion,
d²u
M s =
dt²
= C(us+1+ug-1-2u), reduces to the continuum elastic wave equation
where v is the velocity of sound.
d'u
ôt²
d²u
əx²

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