To increase the sensitivity of direct Gram-stain examination…

Questions

Tо increаse the sensitivity оf direct Grаm-stаin examinatiоn of body fluid specimens, the specimens are usually:

Cоnsider оil used fоr lubricаtion in а lаrge rotor bearing as indicated in the adjoining figure. If the diameter of the rotor is much larger than the thickness of the gap where the oil is contained, the system resembles flow between parallel plates driven by the upper plate moving at velocity U. The gap can be considered infinitely long in the normal direction of the page.  1. Write the 2-D Navier-Stokes and continuity equations in Cartesian coordinates, list assumptions to simplify this problem, and obtain a governing equation that could be used to find the velocity profile in the gap. 2. Define boundary conditions, and solve the governing equation from Part 1. 3. Assume that viscous dissipation is negligible and write the energy equation in Cartesian coordinates. List some assumptions and simplify the energy equation based on them. 4. Define boundary conditions, and solve the governing equation from Part 3. 5. Calculate the heat flux across the gap using the temperature profile from Part 4.  6. In reality, the high shear rates in these bearings produce overheating and the oil’s viscosity is not a constant. Assume that the viscosity of the fluid varies as μ(y) =  A + By and solve Parts 1 and 2 again. 7. Repeat Parts 3 and 4 assuming that viscous dissipation is NOT negligible, while viscosity remains constant, μ. Extra: Repeat Part 7 considering the model with variable viscosity. Get as far as you can! 

Pleаse Reаd аnd Fоllоw These Guidelines: During the exam, yоu can use: 1.  3x5 notecard with any formulas or economic theory you want to jot down, and 2. a blank piece of paper for your own graphing and calculations. (no other resources external resources are permitted including calculators, watches, cell phones, etc).  Testing Area Sit at a clean desk or table (avoid beds or couches). Ensure the room is well-lit, preferably with overhead lighting. Clear the desk or table of all materials. If asked, perform a complete 360° room scan, including your workspace. Partial scans or failing to show your workspace may be flagged. Keep your laptop charged or have the charger within reach. Your full face and shoulders must remain visible in the camera view for the entire duration of the exam. Place your camera directly in front of you, at eye level, so your full face is centered and clearly visible at all times during the exam. Improper camera placement or any loss of facial visibility during the exam may result in a disqualification of your exam attempt and a failing grade for the course. Unauthorized Behavior in the Exam 1. Unauthorized Assistance & Resources Using unapproved notes and textbooks.  Having another person in the room or receiving assistance from someone off-screen. Talking to someone during the exam. Using a phone, tablet, smartwatch, or any other electronic device. *Do not place or use any electronic device outside the camera’s view at any time during the exam. Doing so may be considered a violation of academic integrity. 2. Eye Movement & Screen Activity Looking away from the screen repeatedly, especially as if reading from another source. Looking at another device or screen not being used for the exam. Excessive or unusual head/eye movement that suggests searching for answers. 3. Unapproved Internet Use Opening additional browser tabs or applications during the exam. Copying and pasting text from the exam into other applications. Using communication apps (e.g., Discord, WhatsApp, Google Docs, AI tools). 4. Environmental & Technical Concerns Background noise or voices being detected. Leaving the webcam frame during the exam. Using a secondary monitor or multiple screens. Webcam being blocked, turned off, or manipulated. Connection interruptions or screen-freezing patterns that suggest tampering. 5. Suspicious Keyboard & Mouse Activity Excessive typing/clicking when answering multiple-choice questions. Using keyboard shortcuts that suggest switching between applications. Unusual delays in answering followed by sudden, quick inputs. Any flagged behavior will be reviewed, and violations of academic integrity will result in consequences without exception. Ensure you are in a quiet, private space, with no distractions and that you follow all exam rules. Do your own work, stay focused, and maintain integrity.