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In continuum mechanics, a power-law fluid, or the Ostwald–de Waele relationship, is a type of generalized Newtonian fluid. This mathematical relationship is useful because of its simplicity, but only approximately describes the behaviour of a real non-Newtonian fluid.
The Ostwald and de Waele equation can be written in a logarithmic form: log ( τ ) = log ( K ) + n log ( γ ˙ ) {\displaystyle \log(\tau )=\log(K)+n\log \left({\dot {\gamma }}\right)} The apparent viscosity is defined as η = τ γ ˙ {\displaystyle \eta ={\tau \over {\dot {\gamma }}}} , and this may be plugged into the Ostwald ...
Fluid balance is an aspect of the homeostasis of organisms in which the amount of water in the organism needs to be controlled, via osmoregulation and behavior, such that the concentrations of electrolytes (salts in solution) in the various body fluids are kept within healthy ranges.
Ostwald ripening is a phenomenon observed in solid solutions and liquid sols that involves the change of an inhomogeneous structure over time, in that small crystals or sol particles first dissolve and then redeposit onto larger crystals or sol particles.
Armand Michel A. de Waele FRIC FInstP (17 November 1887 – December 1966) was a British chemist, noted for his contributions to rheology, and after whom the Ostwald–de Waele relationship for non-Newtonian fluids is named. [1] De Waele was born in Islington, London, in 1887, the son of a Belgian father and French mother.
This may be written in the following form, known as the Ostwald–Freundlich equation: =, where is the actual vapour pressure, is the saturated vapour pressure when the surface is flat, is the liquid/vapor surface tension, is the molar volume of the liquid, is the universal gas constant, is the radius of the droplet, and is temperature.
Conversely, excessive fluid intake dilutes the extracellular fluid causing the hypothalamus to register hypotonic hyponatremia conditions. When the hypothalamus detects a hypertonic extracellular environment, it causes the secretion of an antidiuretic hormone (ADH) called vasopressin which acts on the effector organ, which in this case is the ...
The Herschel–Bulkley fluid is a generalized model of a non-Newtonian fluid, in which the strain experienced by the fluid is related to the stress in a complicated, non-linear way. Three parameters characterize this relationship: the consistency k , the flow index n , and the yield shear stress τ 0 {\\displaystyle \\tau _{0}} .