DESIGN AND CONSTRUCTION OF A PALLING-BOBBIN VISCOMETER TO MEASURE THE VISCOSITY OF LIQUIDS AT ELEVATED PRESSURES THESIS Submitted in Partial Fulfilment of the Requirements for the Degree of MASTER OP MECHANICAL ENGINEERING at the POLYTECHNIC INSTITUTE OP BROOKLYN by Ira Krupen May 1951 Approved: Bead of Dep^^ment ^ d Thesis Adviser ProQuest Number: 27591579 All rights reserved INFORMATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. uest ProQuest 27591579 Published by ProQuest LLO (2019). Copyright of the Dissertation is held by the Author. All rights reserved. This work is protected against unauthorized copying under Title 17, United States Code Microform Edition © ProQuest LLO. ProQuest LLO. 789 East Eisenhower Parkway P.Q. Box 1346 Ann Arbor, Ml 48106- 1346 VITA The writer was born June 20, 1923 in Brooklyn, New York, He attended public schools in Brooklyn, graduating from the Brooklyn Technical High School in June 1941. He entered the School of Technology, College of the City of New York in September 1941 enrolling as a mechanical engineering 3 tudent « In June 1943 he left school to enter the U. S. Army Air Force and saw action in China. He was honorably discharged in January 1946. He returned to the School of Technology, College of the City of New York in January 1946 resuming his studies in mechanical engineering. The writer's professional affiliations are as follows; 1) American Society of Mechanical Engineer, Junior Member; 2) Tau Beta Pu; 3) Pi Tau Sigma. In February 1948 he formally received the degree of Bachelor of Mechanical Engineering. In March 1948 he accepted a position as a mechanical engineer in the Structural Mechanics and Hydrodynamics Section of the Material Laboratory at the New York Naval Shipyard, Brooklyn, New York, where he is now presently employed. His work consisted of design, development, and testing in the mechanical field. The thesis work began in April 1949 and was ended May 1951. The machining, construction, and experimental work was carried out in the machine shop in the Main Building and in the Wunsch Laboratory of Mechanical Analysis In the Mechanical Engineering Building of the Polytechnic Institute of Brooklyn. Signed ACKNOWLEDGMENT The author wishes to express his sincere thanks and appreciation to Professor E. L. Midgette for his guidance as a thesis advisor, to my brother Philip for his technical advise in electronics, and to mj wife Gertrude for helpful criticisms in the writing and typing of the manuscript. DEDICATION To Gertrude and daughter Rhonda Paula %ho patiently waited and palnsakingly coooerated in every ^ay )033ible for me to pursue this cour:3 of study. ABSTRACT Amethod of measuring the effect of pressure on the viscosity of liquids is described herein. The object has been to design and construct an instrument capable of measur ing the viscosity of liquids subjected to pressures ranging from 0 to 2,000 atmospheres. The construction of a viscometer and a method of calibrating the instrument with other means of measuring viscosity is discussed. The equipment as it exists at present and the results that may be obtained from it will serve as a useful basis for the further Investigation of the viscosity of liquids* TABLE OP CONTENTS Page I - Viscosity Introduction* ..................... 1 Effect of Temperature on the Viscosity of Liquids.* 17 Effect of Pressure on the Viscosity of Liquids..... 19 II - Palling Bobbin Viscometer Preliminary Study................. 24 Theory of the Falling Bobbin Viscometer. # 25 Method of Applying the Theory ............... 46 III - Apparatus Description of the Apparatus • ...... 53 Principle of Operation. ............ 66 Calibration of the Instrument,................. 70 Procedure of Operation of the Instrument........... 71 Method of Interpreting the Results........ ........ 73 Corrections to be Applied at Elevated Pressures,♦.. 77 IV - Constructional Design Design. ......... 83 Parts Required............. 91 assembly Drawings ...... .94-97 Detail Drawings ..... 98-111 Bibliography ..... 112 PIQURES AND TABLES Page Figure (1-1) Shear Charcteristics of Various Types of Materials ............ *....... 4 Figure (1-2) Deformation of an Elastic Solid. ..... 6 Figure (1-3) Rate of Deformation of a Liquid........... 7 Figure (1-4) Shear Stress at Any Point in a Liquid..... 9 Table I Density Constants............ 17 Figure (1-5) The Variation of Viscosity of Typical SAE Oils with Temperature........ 18 Table II Viscosity of Typical Rydaulic Oils at Elevated Pressures. ...... «......... 21 Figure (1-6) The Variation of Viscosity of Typical Hydraulic Oils with Pressure... 22 Table III Variation of Viscosity of Three Liquids with Pressure. 23 Figure (2-1) A Piston Falling in a Cylindrical Tube.... 25 Figure (2-2) Elementary Cuboid of Fluid........ 28 Figure (2-3) Forces on the Cuboid......... 29 Figure(2-4) Polar Coordinates Defining the Elementary Cuboid. ..... 32 Figure (2-5) Boundary Conditions of the Bobbin......... 36 Figure (2-6) Plot of Equation (2-71).................... 47 Figure (2-7) A Cuboid of Steel Under a Sydrostatlc Pressure. ...... 49 Figure (5-1) Schematic Diagram of the Equipment........ 54 Figure (3-2) Photograph of the Complete Setup of the Apparatus. ........... 55 Figure (3-5) Photograph of the High Pressure Pump...... 56 Figure (3-4) Photograph of the Control Panel.......... 57 Figure (5-5) Photograph of the Side View of the Apparatus ............. 59 Figure (3-6) Photograph of the Rear View of the Apparatus ................. 61 Figure (3-7) Photograph of the Recording Instruments... 62 Figure (3-8) Photograph of the Viscometer Vessel and Stand....... 63 Figure (3-9) Photograph of the Viscometer Vessel Tilted in the Stand................. 64 Figures (3-10) to (3-18) Photographs of Details of Viscometer Vessel*.* ...... 65 Figure (3-13) Circuit Diagram of the Electrical System.. 67 Figure (3-14) Variation of the Voltages in the Coils.... 69 Figure (3-15) Photostat of a Typical Fall Time Record... 74 Table IV Bill of Materials........ 91 Figure (4-1) Falling Bobbin Viscometer Assembly......... 94 Figure (4-8) Sectional Assembly of Top Head of Viscometer ....... ........ 95 Figure (4-3) Sectional Assembly of Coupling of V i s c o m e t e r . 96 Figure (4-4) Sectional Assembly of Bottom Head of Vis c o m e t e r 97 Figures (4-5) to (4-20) Details of Viscometer Parts.... 98-110 Figure (4-21) Viscometer Stand*........ * .*.... 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