Arvind Santhanakrishnan

Independent research under the direct supervision of the student's doctoral dissertation adviser.Offered for variable credit, 1-15 credit hours, maximum of 42 credit hours.Prerequisite(s): Admission to MAE PhD program and consent of the student's dissertation adviser.

Independent research under the direct supervision of the student's doctoral dissertation adviser.Offered for variable credit, 1-15 credit hours, maximum of 42 credit hours.Prerequisite(s): Admission to MAE PhD program and consent of the student's dissertation adviser.

Fluid statics; conservation of mass, momentum and energy in fixed and moving control volumes; steady and unsteady Bernoulli's equation; fluid kinematics and differential analysis of fluid flow; Navier-Stokes equations and exact solutions; dimensional analysis and similitude; laminar and turbulent flow; internal flows; boundary layer theory; lift and drag; pumps.Prerequisite(s): Concurrent in (ENGR 2421 or MAE 3113) and Grades of 'C' or higher in ENSC 2113 and MATH 2153.

Independent research under the direct supervision of the student's doctoral dissertation adviser.Offered for variable credit, 1-15 credit hours, maximum of 42 credit hours.Prerequisite(s): Admission to MAE PhD program and consent of the student's dissertation adviser.

Experimental study of basic and applied fluid dynamics systems with comparisons to analytical predictions. Fluid dynamics instrumentation, digital data acquisition and processing, design of facilities and experiments, technical report writing and design project with experimental verification.Prerequisite(s): Grades of 'C' or higher in MAE 3333 and (MAE 3113 or [ENGR 2421 and ENSC 3231]).

Fundamental topics that are typically introduced in the undergraduate senior year curriculum with additional depth and breadth commensurate with the graduate program. Repeat credit may be earned with different course subtitles assigned.Offered for 3 credit hours, maximum of 9 credit hours allowed.Prerequisite(s): Graduate standing or consent of instructor.

Independent research under the direct supervision of the student's doctoral dissertation adviser.Offered for variable credit, 1-15 credit hours, maximum of 42 credit hours.Prerequisite(s): Admission to MAE PhD program and consent of the student's dissertation adviser.

Study and investigation under the supervision of a member of the faculty along lines of interest well advanced of and supported by the 5000-series courses.Offered for variable credit, 1-12 credit hours, maximum of 12 credit hours.Prerequisite(s): Approval of the student's advisory committee.

Experimental study of basic and applied fluid dynamics systems with comparisons to analytical predictions. Fluid dynamics instrumentation, digital data acquisition and processing, design of facilities and experiments, technical report writing and design project with experimental verification.Prerequisite(s): Grades of 'C' or higher in MAE 3333 and (MAE 3113 or [ENGR 2421 and ENSC 3231]).

Fundamental topics that are typically introduced in the undergraduate senior year curriculum with additional depth and breadth commensurate with the graduate program. Repeat credit may be earned with different course subtitles assigned.Offered for 3 credit hours, maximum of 9 credit hours allowed.Prerequisite(s): Graduate standing or consent of instructor.

Fluid statics; conservation of mass, momentum and energy in fixed and moving control volumes; steady and unsteady Bernoulli's equation; fluid kinematics and differential analysis of fluid flow; Navier-Stokes equations and exact solutions; dimensional analysis and similitude; laminar and turbulent flow; internal flows; boundary layer theory; lift and drag; pumps.Prerequisite(s): Concurrent in (ENGR 2421 or MAE 3113) and Grades of 'C' or higher in ENSC 2113 and MATH 2153.

Independent research under the direct supervision of the student's doctoral dissertation adviser.Offered for variable credit, 1-15 credit hours, maximum of 42 credit hours.Prerequisite(s): Admission to MAE PhD program and consent of the student's dissertation adviser.

A student studying for a master's degree who elects to write a thesis must enroll in this course.Offered for variable credit, 1-9 credit hours, maximum of 9 credit hours.Prerequisite(s): Graduate standing in MAE and consent of student's adviser.

Independent research under the direct supervision of the student's doctoral dissertation adviser.Offered for variable credit, 1-15 credit hours, maximum of 42 credit hours.Prerequisite(s): Admission to MAE PhD program and consent of the student's dissertation adviser.

Fluid statics; conservation of mass, momentum and energy in fixed and moving control volumes; steady and unsteady Bernoulli's equation; fluid kinematics and differential analysis of fluid flow; Navier-Stokes equations and exact solutions; dimensional analysis and similitude; laminar and turbulent flow; internal flows; boundary layer theory; lift and drag; pumps.Prerequisite(s): Concurrent in (ENGR 2421 or MAE 3113) and Grades of 'C' or higher in ENSC 2113 and MATH 2153.

A student studying for a master's degree who elects to write a thesis must enroll in this course.Offered for variable credit, 1-9 credit hours, maximum of 9 credit hours.Prerequisite(s): Graduate standing in MAE and consent of student's adviser.

Isotropic turbulence, turbulent wakes and jets, bound turbulent shear flows, transition, hydrodynamic stability and integral calculation methods for turbulent boundary layers.Prerequisite(s): MAE 5233.

Introduction to fluid flows. Governing equations for mass, momentum and energy. Exact solutions of Navier-Stokes' equations. Dimensional analysis and similitude. Potential flows. Boundary layer theory. Low Reynolds number flows. Introduction to vorticity dynamics.Prerequisite(s): ENSC 3233.

Independent research under the direct supervision of the student's doctoral dissertation adviser.Offered for variable credit, 1-15 credit hours, maximum of 42 credit hours.Prerequisite(s): Admission to MAE PhD program and consent of the student's dissertation adviser.

A student studying for a master's degree who elects to write a thesis must enroll in this course.Offered for variable credit, 1-9 credit hours, maximum of 9 credit hours.Prerequisite(s): Graduate standing in MAE and consent of student's adviser.

Independent research under the direct supervision of the student's doctoral dissertation adviser.Offered for variable credit, 1-15 credit hours, maximum of 42 credit hours.Prerequisite(s): Admission to MAE PhD program and consent of the student's dissertation adviser.

Fluid statics; conservation of mass, momentum and energy in fixed and moving control volumes; steady and unsteady Bernoulli's equation; fluid kinematics and differential analysis of fluid flow; Navier-Stokes equations and exact solutions; dimensional analysis and similitude; laminar and turbulent flow; internal flows; boundary layer theory; lift and drag; pumps.Prerequisite(s): Concurrent in (ENGR 2421 or MAE 3113) and Grades of 'C' or higher in ENSC 2113 and MATH 2153.

A student studying for a master's degree who elects to write a thesis must enroll in this course.Offered for variable credit, 1-9 credit hours, maximum of 9 credit hours.Prerequisite(s): Graduate standing in MAE and consent of student's adviser.

Project in research assigned by the student's advisor.Offered for variable credit, 1-9 credit hours, maximum of 9 credit hours.

Fluid statics; conservation of mass, momentum and energy in fixed and moving control volumes; steady and unsteady Bernoulli's equation; fluid kinematics and differential analysis of fluid flow; Navier-Stokes equations and exact solutions; dimensional analysis and similitude; laminar and turbulent flow; internal flows; boundary layer theory; lift and drag; pumps.Prerequisite(s): Concurrent in (ENGR 2421 or MAE 3113) and Grades of 'C' or higher in ENSC 2113 and MATH 2153.