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In-Transit Temperature — Night Haul

Mix temperature on arrival for night haul (Newton cooling) vs the compaction minimum.

0
Arrival temperature (°C)
0
Heat lost (°C)

Night air is colder AND clearer — radiant loss to a black sky adds to convection in a way daytime hauling never shows. Night-shift dispatchers pad discharge temperature by ~5 °C over the daytime habit for the same route.

Formula

T(t) = T_a + (T₀ − T_a)e^(−kt)
References: NAPA — HMA paving handbook & best practices; MultiCool / Minnesota DOT mat-cooling research (Chadbourn et al.)

Note: Paving estimates only — the project mix design, agency specification and the plant's QC data govern. Temperature models are simplified; verify with an infrared gun and density gauge on the mat.

Mix temperature on arrival for night haul (Newton cooling) vs the compaction minimum. A free asphalt paving temperature & logistics tool — no sign-up, no upload, instant results in your browser.

About In-Transit Temperature — Night Haul

In-Transit Temperature — Night Haul computes the governing relationship T(t) = T_a + (T₀ − T_a)e^(−kt) live as you type. Night air is colder AND clearer — radiant loss to a black sky adds to convection in a way daytime hauling never shows. Night-shift dispatchers pad discharge temperature by ~5 °C over the daytime habit for the same route. Defaults are pre-filled with realistic values for this exact scenario, and the worked example substitutes your numbers step by step so the math is never a black box.

How to use In-Transit Temperature — Night Haul

  1. 1Enter your values — Discharge temp at plant, Ambient temperature, Cooling coefficient, Load-to-discharge time and more (sensible defaults are pre-filled).
  2. 2Read the live results: Arrival temperature, Heat lost.
  3. 3Check the "with your numbers" line to see T(t) = T_a + (T₀ − T_a)e^(−kt) substituted step by step.
  4. 4Adjust inputs until the scenario matches yours, then copy or share the result.

Why use In-Transit Temperature — Night Haul?

  • Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
  • Built on the stated formula T(t) = T_a + (T₀ − T_a)e^(−kt) with authoritative sources cited on the page (NAPA — HMA paving handbook & best practices; MultiCool / Minnesota DOT mat-cooling research (Chadbourn et al.))
  • Night air is colder AND clearer — radiant loss to a black sky adds to convection in a way daytime hauling never shows.
  • SI ⇄ Imperial toggle converts your inputs in place, so you can work in the units your drawings use

Frequently asked questions

What formula does the in-transit temperature — night haul use?+

It evaluates T(t) = T_a + (T₀ − T_a)e^(−kt), exactly as published. Sources: NAPA — HMA paving handbook & best practices; MultiCool / Minnesota DOT mat-cooling research (Chadbourn et al.). The substituted worked example on the page lets you verify every step against the textbook.

How should I read the result — and how far can I trust it?+

Night air is colder AND clearer — radiant loss to a black sky adds to convection in a way daytime hauling never shows. Paving estimates only — the project mix design, agency specification and the plant's QC data govern. Temperature models are simplified; verify with an infrared gun and density gauge on the mat.

When is this calculator the right tool for the job?+

Mix temperature on arrival for night haul (Newton cooling) vs the compaction minimum. A free asphalt paving temperature & logistics tool. Night-shift dispatchers pad discharge temperature by ~5 °C over the daytime habit for the same route. For neighbouring scenarios, the related tools below cover the same engine with different presets.

Does it support both metric and imperial units?+

Yes — the SI ⇄ Imperial toggle converts the values already in the fields, preserving the physical quantity, so you can flip mid-calculation without re-entering anything.

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