On Discontinuous Movements of Fluids

On Discontinuous Movements of Fluids

Description: FIRST EDITION IN ENGLISH, in original wrappers, of what is generally recognized as the earliest paper on hydrodynamic stability. Preceded by the printing in German of the same year. "In 1868 Helmholtz published a paper on what happens along the contact surface of two infinitely extended fluids if the one moves relative to the other. In that publication, 'Uber dickontinuirliche Flussigkeits-Bewegungen,' [On discontinuous fluid motions], he pointed out that if a water jet issues from a sharp-edged orifice into a tank filled with water, a discontinuity in the velocity distribution is observed at the edge of the orifice. In is view, in a non-viscous fluid a whole surface of discontinuity separating the jet from the surrounding quiescent water can be assumed. Even though Helmholtz had doubts as to the stability of such a surface of discontinuity, he suggested that such a region of irrotational flow bordered by surfaces across which the velocity, but not the pressure, suffers a discontinuous change, should be investigated. The challenge was met by Lord Kelvin... [It] had a pivotal influence... Helmholtz-Kelvin instability, as it came to be known, became an active topic for research among theoretical fluid dynamicists over the following century" (Pasipoularides, Herat's Vortex: Intracardiac Blood Flow Phenomena). IN: The London, Edinburgh, and Dublin Philosophical Magazine, Fourth Series, No. 244, November 1868, pp. 337-348. Octavo, original printed wrappers. Wrappers with light soiling and mild wear to spine and edges. Rare in original wrappers.
Artist or Maker: Helmholtz, Hermann Von
Request more information


Accepted forms of payment: American Express, MasterCard, Visa
Shipping: Shipping is by FedEx unless otherwise requested and is offered gratis.
Ships to: United States of America, United Kingdom, Canada, Australia, Afghanistan, Albania, Algeria, American Samoa, Andorra, Angola, Anguilla, Antarctica, Antigua and Barbuda, APO/FPO, Argentina, Armenia, Aruba, Austria, Azerbaijan Republic, Bahamas, Bahrain, Bangladesh, Barbados, Belarus, Belgium, Belize, Benin, Bermuda, Bhutan, Bolivia, Bosnia and Herzegovina, Botswana, Bouvet Island, Brazil, British Indian Ocean Territory, Brunei Darussalam, Bulgaria, Burkina Faso, Burundi, Cambodia, Cameroon, Cape Verde Islands, Cayman Islands, Central African Republic, Chad, Chile, China, Christmas Island, Cocos (Keeling Islands), Colombia, Comoros, Congo, Cook Islands, Costa Rica, Cote D'Ivoire (Ivory Coast), Croatia, Republic of (Hrvatska), Cuba, Cyprus, Czech Republic, Denmark, Djibouti, Dominica, Dominican Republic, East Timor, Ecuador, Egypt, El Salvador, Equatorial Guinea, Eritrea, Estonia, Ethiopia, Falkland Islands (Islas Malvinas), Faroe Islands, Fiji, Finland, France, French Guiana, French Polynesia, French Southern Territories, Gabon, Gambia, Georgia, Germany, Ghana, Gibraltar, Greece, Greenland, Grenada, Guadeloupe, Guam, Guatemala, Guinea, Guinea-Bissau, Guyana, Haiti, Heard and McDonald Islands, Honduras, Hong Kong, Hungary, Iceland, India, Indonesia, Iran, Iraq, Ireland, Israel, Italy, Jamaica, Japan, Jordan, Kazakhstan, Kenya, Kiribati, Korea, North (People's Republic), Korea, South (Republic), Kuwait, Kyrgyzstan (Kyrgyz Republic), Laos, Latvia, Lebanon, Lesotho, Liberia, Libya, Liechtenstein, Lithuania, Luxembourg, Macau, Macedonia, Madagascar, Malawi, Malaysia, Maldives, Mali, Malta, Marshall Islands, Martinique, Mauritania, Mauritius, Mayotte, Mexico, Micronesia, Moldova, Monaco, Mongolia, Montenegro, Montserrat, Morocco, Mozambique, Myanmar, Namibia, Nauru, Nepal, Netherlands, Netherlands Antilles, New Caledonia, New Zealand, Nicaragua, Niger, Nigeria, Niue, Norfolk Island, Northern Mariana Islands, Norway, Oman, Other, Pakistan, Palau, Panama, Papua New Guinea, Paraguay, Peru, Philippines, Pitcairn, Poland, Portugal, Puerto Rico, Qatar, Reunion, Romania, Russian Federation, Rwanda, S. Georgia and S. Sandwich Isls., Saint Kitts-Nevis, Saint Lucia, Saint Vincent and The Grenadines, Samoa, San Marino, Sao Tome and Principe, Saudi Arabia, Senegal, Serbia, Seychelles, Sierra Leone, Singapore, Slovakia (Slovak Republic), Slovenia, Solomon Islands, Somalia, South Africa, Soviet Union (former), Spain, Sri Lanka, St. Helena, St. Pierre and Miquelon, Sudan, Suriname, Svalbard and Jan Mayen Islands, Swaziland, Sweden, Switzerland, Syria, Taiwan, Tajikistan, Tanzania, Thailand, Togo, Tokelau, Tonga, Trinidad and Tobago, Tunisia, Turkey, Turkmenistan, Turks and Caicos Islands, Tuvalu, Uganda, Ukraine, United Arab Emirates, Uruguay, US Minor Outlying Islands, Uzbekistan, Vanuatu, Vatican City State (Holy See), Venezuela, Viet Nam, Virgin Islands (British), Virgin Islands (U.S.), Wallis and Futuna Islands, Western Sahara, Yemen, Yugoslavia, Zaire, Zambia, Zimbabwe
FedEx shipping included in the price: Shipping is by FedEx unless otherwise requested and is offered gratis.
View full terms and conditions

Seller Details

The Manhattan Rare Book Company

Ships from New York, NY, US