where the L and D subscripts indicates the length scale basis for the Grashof Number.

* “ Levins Mühle “ ( Levin ’ s Mill ), filmed in 1980 by Horst Seemann for DEFA film studios, with Erwin Geschonnek, Christian Grashof and Katja Paryla.

Note that whereas the Reynolds number and Grashof number are subscripted with a length scale variable, the Prandtl number contains no such length scale in its definition and is dependent only on the fluid and the fluid state.

The Grashof number is a dimensionless number in fluid dynamics and heat transfer which approximates the ratio of the buoyancy to viscous force acting on a fluid.

It is named after the German engineer Franz Grashof.

The Rayleigh number is named after Lord Rayleigh and is defined as the product of the Grashof number, which describes the relationship between buoyancy and viscosity within a fluid, and the Prandtl number, which describes the relationship between momentum diffusivity and thermal diffusivity.

It is the forced flow equivalent of the Grashof number and was named after the German hydraulic engineer G. H. L. Hagen.

In the case of inertial instability such as Taylor – Couette flow, the Taylor number is mathematically analogous to the Grashof number which characterizes the strength of buoyant forces relative to viscous forces in convection.

and so the Hagen number then coincides with the Grashof number.

The Richardson number can also be expressed by using a combination of the Grashof number and Reynolds number,

The relative magnitudes of the Grashof and Reynolds number squared determine which form of convection dominates.

When analyzing potentially mixed convection of a liquid, the Archimedes number parametrizes the relative strength of free and forced convection by representing the ratio of Grashof number and the square of Reynolds number.

He stood looking down at her for a moment, wondering what could have reduced her to this condition.

Strindberg's remedy for this condition was to tear down the old structures and build anew from the ground up.

These began to be apparent in a press conference held during the second illness in order that the consulting specialists might clarify the President's condition for the nation.

But the natural condition for the heavenly bodies is neither rest, nor rectilinear motion.

But he was happy to tell her that his finances were now in such condition that he could go back to Harvard for a third year with Professor Baker.

Considering then the optimism which has permeated science fiction for so long, what is really remarkable is that during the last twelve years many science-fiction writers have turned about and attacked their own cherished vision of the future, have attacked the Childhood's End kind of faith that science and technology will inevitably better the human condition.

But while war still serves as a catalyst for the values that Malraux wishes to express, these values are no longer linked with the triumph or defeat of any cause -- whether that of an individual assertion of the will-to-power, or a collective attempt to escape from the humiliation of oppression -- as their necessary condition.

Engaged as it is in a battle for world trade as a condition of national survival, this country can have little patience with labor's family feuds.

`` Unless the oyabun has been working on it '', he said, then checked himself and added: `` You can tell Kayabashi-san that the back road is in very good condition and will be quite safe for his party to use ''.

There was the day Uncle Izaak had, in an unexpected grandiose gesture, handed over the pretty sloop to Abel for keeps, on condition that he never fail to let his brother accompany him whenever younger the boy wished.

This condition will undoubtedly continue until such time as a state uniform system of evaluation is established, or through mutual agreement of the local assessing officials for a method of standard assessment practice to be adopted.

The Government of India agrees to furnish, upon request of the United States of America, information on the progress of the program, particularly with respect to the arrival and condition of commodities and the provisions for the maintenance of usual marketings, and information relating to exports of the same or like commodities.

Essentially, the question presented for decision in the present Daytime Skywave proceeding is whether our decision ( in 1938-1939 ) to assign stations on the basis of daytime conditions from sunrise to sunset, is sound as a basis for AM allocations, or whether, in the light of later developments and new understanding, skywave transmission is of such significance during the hours immediately before sunset and after sunrise that this condition should be taken into account, and some stations required to afford protection to other stations during these hours.

Hence, the condition of freedom is a necessary condition for choice.

With them, you can carry steaks and hamburgers at refrigerator temperatures, and also get your frozen food for stews and chowders, to the marina or picnic, in A-1 condition.

One Kohnstamm-positive subject who had both arms rise while being tested in the naive condition described her subjective experience as follows: `` You feel they're going up and you're on a stage and it's not right for them to do so and then you think maybe that's what's supposed to happen ''.

According to the theory proposed, this is a consequence of the severe condition of perceived threat that persists unabated for the anxious child in an ambiguous sort of school environment.

A degree of indefiniteness is a salutary condition for the growth of science.

Psychical blindness is a condition in which there is a total absence of visual memory-images, a condition in which, for example, one is unable to remember something just seen or to conjure up a memory-picture of the visible appearance of a well-known friend in his absence.

If the argument is accepted as essentially sound up to this point, it remains for us to consider whether the patient's difficulties in orienting himself spatially and in locating objects in space with the sense of touch can be explained by his defective visual condition.

I am told that a mortar longer slaked might have remained longer in condition for painting.

my point is that where conflicts arise they must always be resolved in favor of achieving the indispensable condition for a tolerant world -- the absence of Soviet Communist power.

Heap relates that Sigsworth invited her to his studio to write lyrics for a four-bar motif he had, with the condition that she include the word " love " somewhere.

Heap explains that Sigsworth invited her over to his studio to write lyrics to a four-bar motif he had, with one condition – that she include the word " love " somewhere.

The study points out that the Hong Kong-Zhuhai-Macau Bridge will alter the present passive condition of the transport linkage between Hong Kong and Pearl River West which relies mainly on water transport.

The family history was consistent with X-linked recessive inheritance of intrauterine growth retardation and small head size, but these features are not unique to this condition and no linkage to a specific gene was ever established.

The Calvinist doctrine of unconditional election states that salvation cannot be earned or achieved and is therefore not conditional upon any human effort, so faith is not a condition of salvation but the divinely apportioned means to it.

In early March Congress, led in part by Radical Republicans, passed the first in a series of four Reconstruction Acts, initially providing for the recognition of provisional governments to be established thereunder by the Southern states, on the condition that each state ratify the Fourteenth Amendment and assure suffrage for freedmen.

Bipolar disorder is a condition in which people experience intermittent abnormally elevated ( manic or hypomanic ) and, in many cases, abnormally depressed states for periods of time in a way that interferes with functioning.

The no-hair theorem states that, once it achieves a stable condition after formation, a black hole has only three independent physical properties: mass, charge, and angular momentum.

Because of energy conservation, only the states with the same energy as the initial condition are accessible.

A particular FSM is defined by a list of its states, and the triggering condition for each transition.

) Emily states that the only condition in which she would remain married to Ross is if he stops all communication with Rachel.

The risk factors are increased by a condition ( temporary or permanent ) which impairs a person's judgment, such as excess alcohol or other drugs, or emotional states such as loneliness, depression or euphoria.

The CIM has been essentially abandoned ; however, in its place, states frequently require passing the same exam as a condition of receiving a high school diploma.

His work states that a visiting physician must make duplicate notes of a patient's condition on every visit.

Brichtothe states that it is " not mere sentimental respect for the physical remains that is ... the motivation for the practice, but rather an assumed connection between proper sepulture and the condition of happiness of the deceased in the afterlife " According to Brichtothe, the early Israelites apparently believed that the graves of family, or tribe, united into one, and that this unified collectivity is to what the Biblical Hebrew term Sheol refers.

Michael Freeden in his study Ideologies and Political Theory ( 1996 ) states that all socialists share five themes: the first is that socialism posits that society is more than a mere collection of individuals ; second, that it considers human welfare a desirable objective ; third, that it considers humans by nature to be active and productive ; fourth, it holds the belief of human equality ; and fifth, that history is progressive and will create positive change on the condition that humans work to achieve such change.

Plutarch also states that Spartans treated the Helots " harshly and cruelly ": they compelled them to drink pure wine ( which was considered dangerous – wine usually being cut with water ) "... and to lead them in that condition into their public halls, that the children might see what a sight a drunken man is ; they made them to dance low dances, and sing ridiculous songs ..." during syssitia ( obligatory banquets ).

Hempel's equivalence condition states that when a proposition, X, provides evidence in favor of another proposition Y, then X also provides evidence in favor of any proposition which is logically equivalent to Y.

* The fifth part states that all men are created in God's image, and that it is contrary to the teaching of the Church to discriminate against, show hatred towards or harass any person or people on the basis of colour, race, religion, condition of life and so on.

Some states, such as Colorado, use a combination of laws and signs restricting speeds or vehicles on certain lanes to emphasize overtaking only on the left lane, and to avoid a psychological condition commonly called road rage.

Each person's self-defined sexual orientation and gender identity is integral to their personality and is one of the most basic aspects of self-determination, dignity and freedom " and the Principle 18 of this states that " Notwithstanding any classifications to the contrary, a person's sexual orientation and gender identity are not, in and of themselves, medical condition and are not to be treated, cured or suppressed.

The terrible condition in which Pope Gregory XIII had left the ecclesiastical states called for prompt and stern measures.

Whether the absence of vessels in basal angiosperms is a primitive condition is contested, the alternative hypothesis states that vessel elements originated in a precursor to the angiosperms and were subsequently lost.

Barry Long states that lusting is only the thinking about sex, and this thinking about the natural sexual energy gives rise to a separate powerful emotional condition known as lust.

The Peace of Füssen followed on 22 April, by which he secured his hereditary states on condition of supporting the candidature of the Grand-Duke Francis, consort of Maria Theresa.

Under provision six of the Act, " No State while in a condition of rebellion or insurrection against the government of the United States shall be entitled to the benefit of this act ," in reference to the recent secession of several Southern states and the currently raging American Civil War.

The Act states that in yellow-dog contracts, where workers agree as a condition of employment not join a labor union, are unenforceable in federal court and establishes that employees are free to form unions without employer interference, and can withdraw from the federal courts jurisdiction relative to the issuance of injunctions in nonviolent labor disputes.

The Committee agreed to form two informal " Friends of the Chair " groups to: 1 ) consider preparations for the 2005 NPT REVCON ; and 2 ) continue consideration of possible future adoption of a policy of requiring full-scope safeguards as a condition of supply to non-nuclear weapon states.

The theory states that maintaining and monitoring urban environments in a well-ordered condition may stop further vandalism and escalation into more serious crime.