Shear flow is the flow induced by a force gradient (for a fluid). For solids, it is the gradient of shear stress forces throughout the body.
(-1.5,0) (1.5,0) what is the gradient?
Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across
A positive gradient goes uphill from left to right A negative gradient goes downhill from left to right
If the gradient is a positive number the curve is increasing, and if the gradient is a negative number it is decreasing.
The Soret effect is the phenomenon where a temperature gradient causes a concentration gradient in a fluid mixture. The Dufour effect is the phenomenon where a concentration gradient causes a temperature gradient in a fluid mixture. Both effects are important in non-isothermal mass transport processes.
pressure gradient is
pressure gradient
The concentration gradient of the interstitial fluid affects the osmolarity of the renal medulla. A steeper concentration gradient allows for more concentration of urine by the kidneys, as the gradient drives water reabsorption in the collecting ducts, leading to concentrated urine production.
Shear flow is the flow induced by a force gradient (for a fluid). For solids, it is the gradient of shear stress forces throughout the body.
It is a difference in pressure
A velocity potential is a scalar function whose gradient is equal to the velocity of the fluid at that point. If a fluid is incompressible and has zero viscosity (an ideal fluid) its velocity as a function of position can always be described by a velocity potential. For a real fluid this is not generally possible.
In a Newtonian fluid, shear stress is directly proportional to the velocity gradient. This relationship is described by Newton's law of viscosity, which states that the shear stress (τ) is equal to the viscosity (μ) of the fluid multiplied by the velocity gradient (du/dy). Mathematically, this relationship can be represented as τ = μ*(du/dy).
Velocity gradient is the rate of change of velocity with respect to distance in a fluid flow. It represents how velocity changes across different points in a fluid, indicating the level of shear and deformation within the fluid. Typically, it is used to describe the flow behavior or viscosity of a fluid.
Gravity creates a vertical pressure gradient within a fluid due to the weight of the fluid above a specific point. This pressure gradient causes the fluid to move from higher to lower pressure areas, thereby influencing fluid flow and distribution. In the case of bodies of water, gravity also contributes to hydrostatic pressure at different depths.
The fluid pressure gradient in the lymphatic system is established by two things. The first is movements caused by breathing, and the second is contractions of the skeletal muscles.
The difference in velocity between adjacent layers of the fluid is known as a velocity gradient and is given by v/x, where v is the velocity difference and x is the distance between the layers. To keep one layer of fluid moving at a greater velocity than the adjacent layer, a force F is necessary, resulting in a shearing stress F/A, where A is the area of the surface in contact with the layer being moved.