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A finite volume numerical method is introduced to perform the direct numerical simulation for two-phase immiscible and incompressible fluids. The Navier-Stokes equation is discretized by the staggered mesh spatially and advected temporally with the 4th order Runge-Kutta scheme. CFL conditions involving the effect from the convective term, viscous term, stiff source term and heat transfer are applied to meet the stringent limitation on the time step. Energy equation is coupled with the Navier-Stokes equation when the study of heat transfer is included.

The letter is typed on United States Senate letterhead. See also McCarran's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=M000308), as well as additional letters in the collection to Walter.

McCarron thanks Walter for his very kind note regarding the passage of the Senate immigration omnibus bill. He states that on the other side of the Capitol he and his colleagues are aware of the "your magnificent work in procuring House passage of your own fine bill." A Senator from Nevada (1933-53), McCarran was Chairman of the Committee on the District of Columbia as well as co-Chairman of the Joint Committee on Foreign Economic Cooperation. He was also a member of the Judiciary Committee.

The letter is typed on United States Senate letterhead. See also McCarran's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=M000308), as well as additional letters in the collection to Walter.

McCarran writes to Walter regarding legislation they are each working on and extends his hope that Walter will be successful in "getting the bill before the House for a vote. I feel confident that the House will approve it, for it is certainly most worthy legislation." McCarran hails Walter as the "leading proponent" of sound immigration and naturalization policy. A Senator from Nevada (1933-53), McCarran was Chairman of the Committee on the District of Columbia as well as co-Chairman of the Joint Committee on Foreign Economic Cooperation. He was also a member of the Judiciary Committee.

The letter is typed on United States Senate letterhead. See also McCarran's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=M000308), as well as additional letters in the collection to Walter.

McCarran states that he was very grateful for Walter's wire which was read in his hometown on the occasion of his 50th anniversary, telling him "Your kind expressions were very touching, and they will be long remembered." Such events rarely occur during one's lifetime and McCarran's "solid gold" Nevadans made "us immeasurably happy." A Senator from Nevada (1933-53), McCarran was Chairman of the Committee on the District of Columbia as well as co-Chairman of the Joint Committee on Foreign Economic Cooperation. He was also a member of the Judiciary Committee.

The letter is written on Barry Goldwater letterhead. See also Goldwater's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=G000267), as well as Walter's (http://bioguide.congress.gov/scripts/biodisplay.pl?index=W000108).

Goldwater apologizes to Walter, stating that in a moment of temper, he was abusive to Walter's secretary. He regrets that his temper will not remain calm, and apologizes "to one whose devoted service I admire." After serving as a pilot during World War II, Goldwater joined the Department of the Interior (1948-1950) and then was elected a Senator from Arizona on the Republican ticket; he served in the Senate from 1969 to 1987, contending unsuccessfully for the Republican Presidential nomination in 1964.

The letter is typed on the Cardinal's letterhead bearing the "Sequere Deum" crest.

Spellman expresses his regret that Walter is ending his Congressional career, but tells him that he "may look back on your activities with great satisfaction since devotedly you have served the interests of our country." Congressman Walter served in World War II and as a Representative from Pennsylvania in the seventy-third and fifteen succeeding Congresses, serving from 1933 until his death May 31, 1963. Walter also acted as chairman of the Committee on Un-American Activities.

The letter is typed on Supreme Court of the United States letterhead. See also Vinson's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=V000106).

Vinson thanks Walter for congratulating him on his nomination as Chief Justice for the Supreme Court. He expresses himself glad to know that Walter has "confidence in my measuring up to the grave responsibilities of this high office." Vinson served as a soldier in World War I, a Congressman, a judge on appellate courts, a Federal Loan Administrator, and Truman's Secretary of the Treasury, before his appointment as Chief Justice in 1946, remaining on the bench until his death in 1953. Congressman Walter, was chairman of the Committee on Un-American Activities.

The letter is typed on Federal Bureau of Investigation letterhead with the Office of the Director's seal. See also additional letters in the collection to Walter, and another letter from Hoover.

Hoover tells Walter he has just finished reviewing "Operation Abolition" set to be released by the Committee on Un-American Activities the following day. Hoover takes the pamphlet as evidence of communists enlisting the support of "misguided individuals" to aid in "their subversive workings." He closes by saying that Walter's Committee's role is well known to every patriotic citizen and "real Americans" will not be "fooled or misled by efforts to discredit your vital task." The letter's recipient, Congressman Walter, was chairman of the Committee on Un-American Activities.

The letter is typed on Federal Bureau of Investigation letterhead with the Office of the Director's seal. See also additional letters in the collection to Walter, and another letter from Hoover.

Hoover thanks Walter for his kind remarks about the FBI on Hoover's 25th anniversary as Director of the Bureau. Hoover acknowledges the "loyal, sacrificial efforts" of the Bureau's men and women, and states that "we would never have been able to have discharged our responsibilities" if it were not for "forward-looking members of both the House and Senate" such as Walter. Hoover closes by reminding Walter of the years that have passed since they were both students at George Washington Law School.

At head of page is an embossed seal: American Federation of Labor and text: George Meany, American Ferderation of Labor, Washington, D.C. ; at the bottom of the page: The Honorable Francis Walter, House Office Building, Washington 25, D.C. ; triangular logo at bottom of page. See also Walter's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=W000108). See also additional letters in the collection to Walter.

Meany thanks Walter for sending a copy of the photograph of Meany's wife with Congresswoman Kelly and Mrs. [Blanche] Zablocki. At the time this letter was written, Meany had been president of the American Federation of Labor since 1952; the same year, the AFL merged with the Congress of Industrial Organizations (CIO), and Meany became president of this new AFL-CIO union, holding this office for twenty-four years. The letter's recipient, Congressman Walter, was chairman of the Committee on Un-American Activities.

The letter is typed on Lucius D. Clay, General, Retired, U.S. Army letterhead. See also Walter's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=W000108). See also additional letters in the collection to Walter.

Clay thanks Walter for making it possible for Professor Fraenkel and his wife to remain in Germany an additional year without forfeiting their citizenship; Clay states that they are "serving us well." An army officer and a political advisor, Clay's organizational skills put him in charge of the port of Charbourg during World War II, and later promoted him to deputy military governor of the American zone of Berlin (1945). He advised Eisenhower and Kennedy on the Berlin situation. The letter's recipient, Congressman Walter, was chairman of the Committee on Un-American Activities.

The letter is typed on official White House letterhead.

Kennedy extends his "heartiest congratulations and good wishes" to Walter on the occasion of his anniversary, wishing him good health for years to come. Kennedy served as a PT boat commander in the Navy during World War II in the South Pacific; he returned home to serve in Congress (1947-1953), won the Pulitzer Prize in history for his _Profiles in Courage_ , was elected Senator and served in that office (1953-1960) until he resigned to assume the Presidency of the United States. He became the thirty-fifth President and served from 1961 to 1963 when he was assassinated in Dallas, Texas.

The letter is typed on Herbert Hoover's letterhead. See also an additional letter from Hoover in the collection as well as his official White House biography (http://www.whitehouse.gov/history/presidents/hh31.html).

Hoover acknowledges receipt of Walter's "kind message" and relates that "I am on the way out of this siege and that I deeply appreciate your gracious action." Before becoming the thirty-first President of the United States (1929-1933), Hoover worked as an engineer in China during the Boxer Rebellion, later assisting the American Consul in evacuating citizens at the start of World War I.

The letter is typed on Secretary of State letterhead. See also an additional version of this letter to Walter (possibly a draft?) in the collection, bearing the same date. See also Herter's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=H000548), as well as Walter's (http://bioguide.congress.gov/scripts/biodisplay.pl?index=W000108).

Herter thanks Walter for his kind remarks on the occasion of Herter's appointment [probably as Secretary of State]. Walter may have received both versions of Herter's thank you letter. Before assuming the duties of the office of the Secretary of State (1959-1961), Herter filled diplomatic posts in Belgium and Germany, taught at Harvard, served in Congress from 1943 to 1953, and was Governor of Massachusetts from 1953-1957.

The letter is typed on Congress of the United States, House of Representatives, Office of the Majority Leader, Washington, D.C., John W. McCormack, 12th Dist., Massachusetts letterhead. Appearing at the bottom of the recto are the words "9 Mar. 58- UnAmer" which may be a reference to Walter's work with the Committee on UnAmerican Activities.

McCormack sends Walter news items appearing in the _Boston Herald_ . Congressman Walter served in World War II and as a Representative from Pennsylvania in the seventy-third and fifteen succeeding Congresses, serving from 1933 until his death May 31, 1963. Walter also acted as chairman of the Committee on Un-American Activities.

The letter is typed on official White House letterhead. See also Eisenhower's official White House biography (http://www.whitehouse.gov/history/presidents/de34.html); see also Walter's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=W000108).

Eisenhower thanks Walter for his comments on "various of the problems that must be carefully weighed in connection with any possible conference with leaders of the Soviet Union." A lifelong military man, Eisenhower made his reputation as the Supreme Commander of troops invading France on D-Day, 1944 at the end of World War II. Postwar, he accepted an appointment as President of Columbia University, and then moved on to assume command over NATO forces assembled in 1951. In 1952 he ran for President, an office which he held for two terms (1953-61).

The letter is typed on Embassy of Israel letterhead with official seal. See also Walter's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=W000108).

Eban extends a cordial invitation on behalf of his government, urging Walter to visit Israel after he attends the I.C.E.M. conference in Geneva; Eban also extends the invitation to other members of the United States delegation. An Israeli statesman, diplomat, scholar, and persuasive speaker, Eban served as Israel's United Nations representative as well as ambassador to the United States at the time this letter was written.

The letter is typed on United States Senate/ Committee on Appropriations letterhead.

Kefauver expresses his regret to hear that Walter is leaving Congress, and apprises Walter of the "high personal esteem" he has for him. Kefauver served in the Senate from 1949 to 1963, and is best remembered for his work with the Kefauver Committee to investigate organized crime. The recipient of the letter, Francis E. Walter, served in World War II and as a Representative from Pennsylvania in the seventy-third and fifteen succeeding Congresses, serving from 1933 until his death May 31, 1963. Walter also acted as chairman of the Committee on Un-American Activities.

The letter is typed on Attorney General's Office letterhead. See also Kennedy's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=K000114), as well as Walter's biography and research papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=W000108).

Kennedy congratulates Walter on his Citation for Meritorious Service from the United States Committee on Refugees, a service which Kennedy states has "done much to maintain the reputation of the United States for humanity and compassion." Kennedy served as Attorney General of the United States from 1961 to 1964, at which point he was elected as a Senator from New York. He served twice as his brother's campaign manager in his successful bids for the Senate and the Presidency, and was in the midst of conducting his own presidential campaign when he was assassinated in California in 1968.

See also Johnson's official White House biography (http://www.whitehouse.gov/history/presidents/lj36.html) and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=J000160).

Johnson accepts Walter's invitation to visit Easton on October 31 and declares that he is "looking forward to every minute." He reveals that "The Keystone State campaign this year is one of the keys for our party." Before assuming the duties as President Kennedy's Vice President, Johnson fought in World War II in the Navy, then returned home to serve as a Representative and a Senator from Texas, becoming the 36th President of the United States upon Kennedy's assassination, and fulfilling the duties of that office from 1963 to 1969. The recipient of the letter, Francis E.

The letter is typed on Chief of Staff/ United States Air Force letterhead with official seal at the top. See also Walter's biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=W000108).

LeMay sends his wishes to Walter for a speedy recovery, encouraging him to "make the most of this short respite from your busy schedule."Walter served in World War II and as a Representative from Pennsylvania in the seventy-third and fifteen succeeding Congresses, serving from 1933 until his death May 31, 1963, shortly after he received this letter from LeMay. Walter also acted as chairman of the Committee on Un-American Activities.

The letter is typed on Mayor of the City of New York letterhead with accompanying seal of office.

Laguardia states that he thought "the enclosed tear sheet from my regular Sunday broadcast would be of interest to you." LaGuardia was the 99th Mayor of New York City, serving from 1934-1945. LaGuardia's career began at the U.S. Consular Service in Europe, after which time he graduated from NYU law, was appointed Deputy Attorney General, served in Congress and in World War I, and was elected mayor in 1933, an office he held for three terms.

Letter is typed on U.S. House of Representatives letterhead, personalized for Sam Rayburn's 4th District, Texas; for biography and guide to research collections of his papers see also (http://bioguide.congress.gov/scripts/biodisplay.pl?index=R000082).

Rayburn offers Walter a place on the Commission on Judicial and Congressional Salaries since Abe Ribicoff cannot accept it; letter also mentions Speaker Martin and Mannie Celler.

The letter is typed on State of New Hampshire, Concord letterhead with official gold seal of office. See also Adams' biography and a guide to research collections of his papers (http://bioguide.congress.gov/scripts/biodisplay.pl?index=A000046), as well as Walter's (http://bioguide.congress.gov/scripts/biodisplay.pl?index=W000108).

Adams thanks Walter for the information he gave Norris Cotton on the Displaced Persons program. He reveals that the pulpwood industry has had to import seasonal labor from Canada and is investigating the possibility of providing land for these displaced persons to live on while they work. At the time this letter was written, Adams was serving as Governor of New Hampshire (1949-1953). Before assuming these duties, Adams served as representative to the American Pulpwood Industry in New York (1946-1948).