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| import gradio as gr | |
| import math | |
| def calculate_cooling_time(initial_temperature_C, ambient_temperature_C, volume_coffee_ml, diameter_mug_mm, desired_temperature_C): | |
| # Constants | |
| specific_heat_water_J_per_g_C = 4.186 # in J/g°C | |
| thermal_conductivity_ceramic_W_per_m_K = 1 # in W/m·K | |
| density_water_g_per_ml = 1 # in g/ml | |
| # Convert units | |
| volume_coffee_m3 = volume_coffee_ml * 1e-6 # convert ml to m³ | |
| diameter_mug_m = diameter_mug_mm * 1e-3 # convert mm to m | |
| # Calculate the radius of the mug and the coffee | |
| radius_mug_m = diameter_mug_m / 2 | |
| radius_coffee_m = radius_mug_m # we're assuming the coffee fills the mug to the brim | |
| # Estimate the height of the coffee based on the volume | |
| height_coffee_m = volume_coffee_m3 / (math.pi * radius_coffee_m**2) | |
| # Calculate the surface area of the coffee exposed to the air | |
| surface_area_coffee_m2 = math.pi * radius_coffee_m**2 | |
| # Calculate the mass of the coffee | |
| mass_coffee_g = volume_coffee_ml * density_water_g_per_ml # convert volume to mass | |
| # Calculate the temperature difference between the coffee and the ambient temperature | |
| delta_temperature_C = initial_temperature_C - ambient_temperature_C | |
| # Estimate the cooling constant | |
| cooling_constant = (thermal_conductivity_ceramic_W_per_m_K * surface_area_coffee_m2 * delta_temperature_C) / (specific_heat_water_J_per_g_C * mass_coffee_g) | |
| # Check if the desired temperature is less than the initial temperature | |
| if desired_temperature_C >= initial_temperature_C: | |
| return "Desired temperature must be less than initial temperature" | |
| # Rearrange the temperature equation to solve for time | |
| cooling_time_s = -math.log((desired_temperature_C - ambient_temperature_C) / (initial_temperature_C - ambient_temperature_C)) / cooling_constant | |
| # Convert the cooling time from seconds to minutes | |
| cooling_time_min = cooling_time_s / 60 | |
| return cooling_time_min | |
| iface = gr.Interface( | |
| fn=calculate_cooling_time, | |
| inputs=[ | |
| gr.inputs.Number(label="Initial temperature of coffee (C)"), | |
| gr.inputs.Number(label="Ambient temperature (C)"), | |
| gr.inputs.Number(label="Volume of coffee (ml)"), | |
| gr.inputs.Number(label="Diameter of mug (mm)"), | |
| gr.inputs.Number(label="Desired temperature (C)") | |
| ], | |
| outputs=gr.outputs.Textbox(label="Estimated cooling time (minutes)"), | |
| ) | |
| iface.launch() | |