Applied Mathematics                      
                             
    Applied Mathematics 299r. Special Topics in Applied Mathematics
Catalog Number: 5798
Howard A. Stone
Half course (fall term; repeated spring term). Hours to be arranged.
Supervision of experimental or theoretical research on acceptable applied mathematics problems and supervision of reading on topics not covered by regular courses of instruction.
Note: Open to graduate students and AB/SM candidates only. Students must arrange such work with a member of the Division. This course is graded and is ordinarily taken with the approval of the Committee on Higher Degrees. Applicants must file a project sheet before study cards are filed. Project sheets may be obtained from the Academic Office, Pierce Hall 110.
                                                                                                                                                                       
 
 
 
 
 
 
 
 
 
 
   
Applied Mathematics 323,324. Applied Mathematics in Physical Sciences
Catalog Number: 1149,5221
Howard A. Stone 2073
                                                                                                                                                                                           
 
 
                             
      Engineering Sciences                      
                             
    Engineering Sciences 123. Introduction to Fluid Mechanics
Catalog Number: 8323
Silas D. Alben and Howard A. Stone
Half course (spring term). M., W., F., at 10, and laboratory. EXAM GROUP: 3
Statics and dynamics of fluids. Buoyancy, stability, and hydrostatics. Laminar viscous flows, simple boundary layers. Dimensional analysis. Potential flows, origin of lift. Gravity waves, open channel flow. Navier-Stokes equation, Reynolds' stress, turbulent flows in boundary layers and pipes. Applications in environmental, biomedical, mechanical and chemical engineering, aerodynamics, physics, etc.
Prerequisite: Applied Mathematics 21a,b or Mathematics 21a,b; Engineering Sciences 120 and Applied Mathematics 105a or 105b recommended.
                                                                                                                                                                                           
 
 
 
 
 
 
 
 
 
 
 
    Engineering Sciences 220. Fluid Dynamics
Catalog Number: 2759
Howard A. Stone
Half course (fall term). M., W., F., at 9. EXAM GROUP: 2
Vector and tensor calculus. Conservation laws; kinematics and constitutive equations. Exact solutions of the Navier-Stokes equations. Lubrication theory and flows at low Reynolds numbers. Potential flows and boundary layer theory. Introduction to turbulent flows and free-surface flows.
Prerequisite: Familiarity with classical mechanics, partial differential equations, and vector and tensor calculus. An undergraduate course in fluid dynamics is strongly recommended.
                                                                                                                                                                                           
 
 
 
 
 
 
 
 
    Engineering Sciences 299r. Special Topics in Engineering Sciences
Catalog Number: 6710
Howard A. Stone
Half course (fall term; repeated spring term). Hours to be arranged.
Supervision of experimental or theoretical research on acceptable engineering and applied science problems and supervision of reading on topics not covered by regular courses of instruction.
Note: Open to graduate students and AB/SM candidates only. Students must arrange such work with a member of the Division. This course is graded and is ordinarily taken with the approval of the Committee on Higher Degrees. Applicants must file a project sheet before study cards are filed. Project sheets may be obtained from the Academic Office, Pierce Hall 110.
                                                                                                                                                                                           
 
 
 
 
 
 
 
 
 
 
    Engineering Sciences 341,342. Special Topics in Fluid Dynamics
Catalog Number: 2231,2237
Howard A. Stone 2073
                                                                                                                                                                                           
 
 
                             
      Applied Physics                      
                             
    Applied Physics 381,382. Special Topics in Fluid Dynamics
Catalog Number: 4554,2668
Howard A. Stone 2073
                                                                                                                                                                                           
 
 
                             
                             
                             
                       
Revised 01/01/06.