## PH30108: Fluid dynamics in physics & astrophysics

[Page last updated: 04 August 2022]

Owning Department/School: Department of Physics
Credits: 6 [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Honours (FHEQ level 6)
Period:
Semester 1
Assessment Summary: EX 100%
Assessment Detail:
• Examination (EX 100%)
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Requisites: Before or while taking this module you must ( take PH20107 OR take MA20223 ) AND ( take PH10103 OR take PH20076 OR take PH20106 OR take PH20114 )
In taking this module you cannot take MA30253 OR take MA40255
Learning Outcomes: After taking this unit the student should be able to:
* derive Euler's conservation laws for inviscid fluids
* determine whether the fluid continuum approximation is applicable and the relation between conservation laws and equations of state
* apply the relevant fluid dynamics frameworks for relativisic fluids and viscous fluids
* characterize different types of fluid flow
* demonstrate understanding of shock waves, sound waves and their differences
* apply fluid dynamics in various (astro-)physical contexts including atmospheres, Bondi accretion flow and pipe flow.

Aims: The aim of this unit is to introduce students to the fundamental concepts and equations of fluid dynamics in a physical and astrophysical setting.

Skills: Numeracy T/F A, Problem Solving T/F A.

Content: Conservation laws in vector form and index notation; Continuum approximation and Boltzmann's equation; Lagrangian fluid dynamics; Streamlines, streaklines and polytropic gases; hydrostatics and atmospheres; Convection, Bernoulli's equation, vorticity, potential flow; Sound waves and Bondi accretion; Shock waves, self-similarity and explosions; Special relativistic fluid dynamics; Viscous flow; concepts in plasma physics; characterizing fluids.

Programme availability:

#### PH30108 is Compulsory on the following programmes:

Department of Physics
• USPH-AFM10 : MPhys(Hons) Physics with Astrophysics (Year 3)
• USPH-AFM11 : MPhys(Hons) Physics with Astrophysics with Research placement (Year 3)
• USPH-AAM14 : MPhys(Hons) Physics with Astrophysics with Study year abroad (Year 4)
• USPH-AKM10 : MPhys(Hons) Physics with Astrophysics with Professional Placement (Year 4)
• USPH-AKM11 : MPhys(Hons) Physics with Astrophysics with Professional and Research Placements (Year 4)
• USPH-AAM15 : MPhys(Hons) Physics with Astrophysics with Study year abroad and Research Placement (Year 4)

#### PH30108 is Optional on the following programmes:

Department of Physics
• USXX-AFB03 : BSc(Hons) Mathematics and Physics (Year 3)
• USXX-AAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 4)
• USXX-AKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 4)
• USPH-AFB01 : BSc(Hons) Physics (Year 3)
• USPH-AAB02 : BSc(Hons) Physics with Study year abroad (Year 4)
• USPH-AKB02 : BSc(Hons) Physics with Year long work placement (Year 4)
• USPH-AFB10 : BSc(Hons) Physics with Astrophysics (Year 3)
• USPH-AAB10 : BSc(Hons) Physics with Astrophysics with Study year abroad (Year 4)
• USPH-AKB10 : BSc(Hons) Physics with Astrophysics with Year long work placement (Year 4)
• USPH-AFM02 : MPhys(Hons) Physics (Year 3)
• USPH-AFM04 : MPhys(Hons) Physics with Research placement (Year 3)
• USPH-AAM12 : MPhys(Hons) Physics with Study year abroad (Year 4)
• USPH-AKM03 : MPhys(Hons) Physics with Professional Placement (Year 4)
• USPH-AKM04 : MPhys(Hons) Physics with Professional and Research Placements (Year 4)
• USPH-AAM13 : MPhys(Hons) Physics with Study year abroad and Research Placement (Year 4)

 Notes: This unit catalogue is applicable for the 2022/23 academic year only. Students continuing their studies into 2023/24 and beyond should not assume that this unit will be available in future years in the format displayed here for 2022/23. Programmes and units are subject to change in accordance with normal University procedures. Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules. Find out more about these and other important University terms and conditions here.