Question

Deep in the ocean, a submarine lurks (Fig. 4.1). Due to the great depth at which the submarine hides, the hydrostatic pressure variations are sufficiently strong to cause the density of the fluid to change. Demonstrate a plot of pressure against depth for all values in the range 0ft to 3000ft. Compute the pressure at the submarine's depth, 3000 ft. $p_{sub} = $ We have previously used a constant density hydrostatic equation. More gener- ally, the hydrostatic equation is written as, $\frac{dp}{dz} = -\gamma$ Let us assume that the seawater satisfies the following equation of state, $\rho = \rho_0 \left(1 + \frac{p}{p_0}\right)^{0.1}$ where there reference conditions are taken at the ocean surface, and they are $\rho_0 = 1.99sl/ft^3, p_0 = 14.7psi$. Note, this equation of state is written so that $p$ will be measured in gage pressure.

          Deep in the ocean, a submarine lurks (Fig. 4.1). Due to the great depth at which
the submarine hides, the hydrostatic pressure variations are sufficiently strong
to cause the density of the fluid to change. Demonstrate a plot of pressure
against depth for all values in the range 0ft to 3000ft. Compute the pressure
at the submarine's depth, 3000 ft.
$p_{sub} = $
We have previously used a constant density hydrostatic equation. More gener-
ally, the hydrostatic equation is written as,
$\frac{dp}{dz} = -\gamma$
Let us assume that the seawater satisfies the following equation of state,
$\rho = \rho_0 \left(1 + \frac{p}{p_0}\right)^{0.1}$
where there reference conditions are taken at the ocean surface, and they are
$\rho_0 = 1.99sl/ft^3, p_0 = 14.7psi$. Note, this equation of state is written so that $p$
will be measured in gage pressure.

Deep in the ocean, a submarine lurks (Fig. 4.1). Due to the great depth at which
the submarine hides, the hydrostatic pressure variations are sufficiently strong
to cause the density of the fluid to change. Demonstrate a plot of pressure
against depth for all values in the range 0ft to 3000ft. Compute the pressure
at the submarine's depth, 3000 ft.
psub =
We have previously used a constant density hydrostatic equation. More gener-
ally, the hydrostatic equation is written as,
(dp)/(dz) = -γ
Let us assume that the seawater satisfies the following equation of state,
ρ = ρ0 (1 + (p)/(p0))^0.1
where there reference conditions are taken at the ocean surface, and they are
ρ0 = 1.99sl/ft^3, p0 = 14.7psi. Note, this equation of state is written so that p
will be measured in gage pressure.

Added by Richard C.

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