Energy phloe(m) II

Classical Mechanics Level 3

Suppose that sap in the phloem carries sucrose at a concentration ρ s \rho_s moles sucrose per liter of sap, at a speed of v s v_s m/s, and that each mole of sucrose has an available energy content E s E_s . Which expression describes the flux of energy along the phloem?

Illustration by Maxicat Rhododendron

E s v s ρ s E_s v_s \rho_s E s ρ s / v s 2 E_s \rho_s / v_s^2 E s / ρ s v s E_s / \rho_s v_s v s ρ s / E s v_s \rho_s / E_s

View wiki
Josh Silverman by Josh Silverman

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Chew-Seong Cheong
Jul 31, 2014

The energy flux Φ \Phi is defined as the energy transfer per unit area. Let the cross-sectional area of the phloem be A A , then the total energy transferred per second is: d E d t = E s ρ s A v s \frac{dE}{dt}=E_s\rho_s A v_s Since Φ = 1 A d E d t \Phi = \frac{1}{A}\frac{dE}{dt} ⇒ Φ = E s v s ρ s \Rightarrow \boxed {\Phi = E_s v_s \rho_s}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...