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Department of Animal Science, Hebrew University, Rehovot 76100, Israel
E-mail: berman{at}agri.huji.ac.il
| ABSTRACT |
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Key Words: heat stress evaporative cooling respiratory stress
| INTRODUCTION |
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Analyses of evaporative cooling in enclosed environments were available in the late 1970s (Landsberg et al., 1979). Numerical optimization of mistfog closed systems for livestock was carried out later, and its efficiency was estimated in terms of a temperature humidity index (THI; Huhnke et al., 2004). The THI assigns equal weights to temperature and humidity, but does not reflect their relative effects on cattle. The THI does not account for the effects of air velocity on heat loss (Berman, 2004, 2005).
The range of conditions in which evaporative cooling is effective and the mode of operation of evaporative cooling in dairy systems are not well defined. This report presents an approach to identify conditions in which evaporative cooling may be efficiently used for the relief of heat stress in dairy cattle.
| METHODS |
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Enthalpy Calculations
A general solution to the relation between temperature and humidity in air may be attained by enthalpy calculations. The heat required for the transition of water from liquid to gas is derived from the surrounding air. The evaporation of water into the air (i.e., an increase in water enthalpy) is thus accompanied by a reduction in Ta (i.e., a decrease in air enthalpy). In evaporative cooling, the increase in water vapor enthalpy equals the decrease in air enthalpy. The conditions in which these changes are equal may be estimated by the equations for dry air and water vapor enthalpies (Monteith, 1973; Campbell, 1977):
![]() | [1] |
and
![]() | [2] |
where Ta is the temperature of ambient air; ha and hv are dry air and water vapor enthalpies (kJ/kg), respectively;
a and
v are dry air and water vapor densities (kg/m3), respectively; 1.01 and 1.88 are the specific heat of dry air and water vapor (kJ/kg), respectively; and 2,502 is the latent heat of water (kJ/kg).
The conditions in which the increase in water vapor enthalpy equals the reduction in dry air enthalpy may be equated by combining Equations 1 and 2:
![]() | [3] |
where Ta and Tc are the temperature of ambient and cooled air, respectively;
va and
vc are the water vapor density in ambient and cooled air (kg/kg of dry air), respectively; and
a and
ac are the dry air density in ambient and cooled air (kg/kg of dry air), respectively.
The equations presented in Table 1
produce sea-level values for
a,
ac,
va, and
vc at different temperatures. The latent heat of evaporation is affected little by temperature (0.0024 MJ/kg per ° C) and elevation (0.65 MJ/kg per 100 m of altitude; Monteith, 1973). In calculations of evaporative cooling of air, an ideal situation was assumed, namely, that all latent heat of evaporation was derived from the air.
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Impact of Humidity on Heat Loss
The maintenance of body temperature stability demands that the difference between heat produced in the body and that dissipated by sensible and latent heat losses from the skin must be dissipated via the respiratory tract (Berman, 2005). This implies that rising Ta increase the demand for water evaporation from the respiratory tract. A depressive effect of RH on Hsk would increase the demand for Hre. Ambient humidity may thus have both direct and indirect effects on Hre.
Impact of Humidity on Hre
Respiratory response data for Holstein cows in climate chamber studies were used to predict the respiration rate (RR), tidal volume (Vt), and expired Ta as a function of the Ta and RH (Stevens, 1981) for cows in first-phase panting. In this phase, the increase in Hre is attained by a rise in RR coupled with a decline in Vt. The equations produced in that study were
![]() | [4] |
![]() | [5] |
![]() | [6] |
where RR is the respiration rate (breaths/min), Vt is the tidal volume (m3/breath), and Tex is the temperature of expired air (° C).
Equations 4 to 6 were used to estimate the hourly pulmonary ventilation rate (m3/h) and expired Ta. Respiratory water loss at different Ta and RH was computed, using Table 1
equations, for Ta ranging from 25 to 40° C, in 2° C steps, and for RH ranging from 15 to 80%, in 10% steps. This produced a data set that was used to analyze the effect of RH on Hre.
Thermal Balance Simulations
Increases in Ta reduce skin convective and radiant heat loss and increase the demand for skin evaporative heat loss. These constitute total Hsk. Evaporative cooling reduces the Tc but increases its RHc. Skin evaporative heat loss is affected by the surrounding RH. The Hsk is relative to the body surface exposed to air and to the velocity of air movement on the exposed body surface. Cattle spend a large part of their day recumbent and also huddle, which reduces the exposed body surface by 20 to 50% and consequently reduces Hsk. A smaller Hsk increases the demand for Hre. Air temperature and humidity in the respiratory tract are determined not only by the Ta and RH of incoming air but also by the breathing rate and Vt. The latter are modulated by the thermal state. Evaporative cooling increases the moisture content of cooled air, which reduces the capacity for skin and respiratory evaporative heat loss. The interactions between RH, Ta, and air-velocity-exposed body surface effects on respiratory and Hsk are complex, but may be estimated by thermal balance simulations.
A cattle thermal balance simulation model, modified to suit the summer-adapted Holstein cow (McGovern and Bruce, 2000; Berman, 2005), was used to estimate Hre and Hsk for a cow of 600 kg of BW and 35 kg/d of milk yield, values that represent cows in the higher producing herds. The thermal balance model modifies Vt, RR, and sensible and latent Hsk for the effects of ambient conditions (Ta, velocity, and RH; McGovern and Bruce, 2000). Metabolic heat production was estimated at 931 W, hair coat depth at 3 mm, radiant temperature at 3° C above Ta, and skin moisture loss at 220 g/m2 per h. These values were chosen because they represent Holstein cows kept in loose housing systems in summer and because the effects of different metabolic heat production and hair-coat-depth values on responses to environmental heat were estimated previously (Berman, 2004; Berman, 2005).
Simulations were run to estimate Hre and Hsk for Ta ranging from 25 to 40° C (in 1.25° C increments), and RH ranging from 15 to 75% (in 10% increments) when the full body surface or two-thirds of it was exposed to air velocities of 0.3 or 1.5 m/s. The reduced body surface simulates the effects of huddling or of lying, in which the body surface exposed to moving air is reduced to about 66%. The Hre and Hsk were expressed in heat loss per cow units (W/cow). In total, 350 simulations were carried out. The data set produced by these simulations was used to analyze the effects of Ta, RH, air velocity, and exposed body surface on Hre.
Air Velocity Close to the Body Surface
Air velocity has marked effects on Hsk and is an important component of thermal balance. The velocity of wind, measured in the free air above the cows back, is not likely to represent the velocity effective in animal heat loss. The latter is determined by the velocity in proximity to the body surface. Air velocity was measured at 1 m above the back and at 10 cm above the body surface at sites located at 45° around the midbody of 15 standing cows. It was measured by a sensitive omnidirectional thermocouple anemometer (±0.05 m/s, model B-27; Hastings-Raydist Inc., Hampton VA). Measurements were carried out while the cows were standing with their heads in stanchions distanced 85 cm apart. Attempts to carry out such measurements in cows free to move were unsuccessful, because the cows moved when approached.
RR in Cows
The predictive value of the model was further examined by comparing the respiratory responses of Holstein cows to given ambient conditions with responses predicted by the model for the same conditions. These data are part of a larger study of the respiratory and behavioral responses of dairy cows. The cows were milked 3 times daily, with a daily milk yield of 34.8 ± 2.2 (SD) kg and at 204 ± 22 (SD) DIM. The cows (n = 73) were kept on deep straw bedding, in the shade of an open, loose housing system providing 14 m2/cow, in which radiant temperature was about 3° C above Ta. The cows were offered a fresh TMR twice daily. Air movement was maintained by fans located 4 m apart along the feeding line. During the higher Ta period, a regular breeze, 1.5 to 2 m/s air velocity in free air, prevailed from 1000 to 1600 h. During this period, the cows were cooled by wetting and forced ventilation for 0.5 h before each milking. Respiratory rate was determined by flank movements over 30-s periods in 10 standing and 10 resting randomly selected cows, at 2-h intervals between 0900 and 1300 h on 16 d between the spring and fall of 1 yr. Ambient conditions were determined in free air using a multifunction instrument (model 451; Testo AG, Lenzkirch, Germany). Air temperature (± 0.1° C), air velocity by miniature vane anemometer (± 0.4 m/s), and RH (± 2%) were measured at the start and end of each RR measurement. The RR observed were correlated with the Hre predicted for these environmental conditions by the thermal balance simulation model.
| RESULTS |
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![]() | [7] |
The reduction in Ta expected at given RH and RHc conditions was approximated by the following regression equation:
![]() | [8] |
where
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The R2 values of the two regressions (Equations 7 and 8) are high enough to give them a satisfactorily reliable predictive potential. The regressions estimate the effects of RH and of RHc on Tc and dTa. A 10-percentage-unit increase in RH lessens the reduction in Tc by about 3° C. This might be counteracted by increasing humidity in the cooled air. But such an attempt would compensate for only about 60% of the effect of RH, as indicated by the ratio of the coefficients of RHc and RH (i.e., 0.18:0.30). A 1° C increase in Ta is accompanied by an increase of only 0.24° C in the reduction of Ta attained by evaporative cooling. This indicates a reduction in the heat stress relief potential of evaporative cooling with rising Ta. At a RH of 15%, the reduction in Ta by evaporative cooling is in the range of 13 to 15° C, a significant improvement in potential convective heat loss (Table 2
). The reduction in Ta declines steeply with rising RH. In the 32 to 42° C Ta range at 45% RH, the reduction in Ta becomes 30 to 40% of that at 15% RH. The decline in Ta by evaporative cooling therefore becomes questionable at RH over 45%, even at high Ta. This reduction in the impact of evaporative cooling may be counteracted by increasing air velocity, a convective heat loss factor not accounted for by enthalpy calculations.
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![]() | [9] |
where Rwl is respiratory water loss (g h 1) and RH is ambient relative humidity (%).
Respiratory water loss increased with rising Ta and declined with rising RH, with no interaction between the effects of Ta and RH (Figure 1
). At 40° C at a RH of 15%, Rwl was 33% larger than at 45% RH. The maximal impact of RH was reached at about 40% RH, at which the Rwl was indistinguishable from those at 45, 50, and 60% RH. This implies not only a depressive effect of RH on Rwl, but also that increasing the RH beyond 40% would not further affect the Rwl.
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The estimates of the thermal balance simulations suggest that when the full body surface is exposed to a 1.5 m/s air velocity, RH (15 to 75%) has no significant effect on Hre (data not shown). A low air velocity reduces the convective and evaporative heat loss from the body surface and increases the impact of the effects of RH on Hsk. At an air velocity of 0.3 m/s the Ta at which the Hre starts to rise above its basal values is reduced by 1.2 to 1.5° C for increments of 10% units in RH (Figure 2A
). At an ambient 55% RH, a rise in Hre to 50% of the maximum rate is estimated to occur at 34° C. At 65 and 75% RH, similar rates of Hre are expected to appear at 32.5 and 31° C, respectively. These set tentative limits on the extent to which RH may be increased to reduce Tc by evaporative cooling for a standing animal exposed to 0.3 m/s air velocity.
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Air Velocity Proximal to the Body Surface
The cows were of a similar age and BW, in their second to fourth lactation, and in an average body condition for lactating cows. The cows were standing with their heads in stanchions and were perpendicularly oriented toward the wind. Mean (±SEM) air velocity at 1 m above the back of the cows was 0.9 ± 0.24 m/s, ranging from 0.5 to 1.4 m/s. This variation in wind velocity is typical for most wind conditions. Mean air velocity at 10 cm above the body surface was 0.40 ± 0.02 m/s. The data of practically concomitant air velocities above the cows and between the cows were used to estimate the relationship between air velocity in free air and that prevailing in proximity of the body surface. This relation is represented by the regression
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where Vs is air velocity in proximity of the body surface and Va is air velocity at 1 m above the back.
The residuals of the regression were randomly distributed, with no indication of a nonlinear relation between Va and Vs. The Vs was in the 0.3 to 0.4 m/s range, with the exception of the higher Vs on the upper body side facing the wind (Figure 3
). The distribution of air velocity around the body was almost symmetrical, with a slight distortion at 45° , the side of the body facing the wind. An effect of wind was not observed at greater angles.
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The relationship between RR and ambient conditions was best described by the following regression:
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Ambient air velocity, as measured at a height of 1.5 m above ground in the free air, did not have significant effects on RR.
Predicted and Observed Respiratory Values
Correlations between RR observed and Hre predicted by the thermal balance model may provide an additional validation of the thermal balance model. Respiratory rates were in the range within which RR is linearly related to Hre (McArthur, 1987). Thermal balance simulations were carried out for full and reduced body surface exposed (representing standing and recumbent cows) at the average Ta and RH during the RR measurements. As previously indicated, air velocities measured in free air are not likely to represent the Vs of the cows. The thermal balance simulations were thus carried out for air velocities of 0.2 to 1.2 m/s. Correlations were calculated between Hre predicted by the thermal balance model at the different Va and RH observed on these days. It was presumed that if the thermal balance model predictions were close to real-life situations, the correlations would be the greatest at Vs.
The correlations between predicted Hre and observed RR declined at air velocities higher than 0.3 m/s. The correlations were higher when a reduced body surface was assumed. The correlations between predicted Hre and RR were the highest at Va of 0.2 m/s for the full body surface (r = 0.75, P < 0.05), and at Va of 0.3 m/s for the reduced body surface (r = 0.97, P < 0.01).
| DISCUSSION |
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For instance, greater reductions in Ta might be attained by allowing a higher RHc. However, a high RH might impair the Hre and Hsk and reduce the capacity to maintain thermal stability. The effect of RH on Rwl was estimated by empirical equations derived from a data set on Holstein cattle in controlled conditions (Stevens, 1981). Respiration rates in the latter study were highly correlated (r = 0.99) with the RR observed in this study. The increase in Rwl with Ta was reduced by the rising RH, and a maximal impact of RH was reached at about 40% RH. Higher RH did not further reduce the respiratory response to Ta. These predictions imply that RH of 70 to 80% RHc prevailing in environments cooled by evaporative cooling (Hahn and Osburn, 1970; Frazzi et al., 2002) are not likely to be a factor markedly affecting the Rwl. This does not account for effects of RH on skin evaporative loss or for effects of exposed body surface and air velocity on heat exchange.
The body surface exposed to moving air is reduced when cows are huddling, as well as when cows adopt a recumbent posture during resting or rumination. Mature Holstein cows in stall housing systems spend about 15 h/d lying, and the duration and frequency of lying probably are indicators of cow comfort (Haley et al., 2000). A smaller body surface reduces both the convective and the evaporative components of Hsk. The time spent lying was reduced in cows exposed to heat stress (Frazzi et al., 2000). Ambient temperature had a negative impact on the percentage of cows lying (Shultz, 1984; Overton et al., 2002). Higher standing values were associated with higher RR and body temperatures (Frazzi et al., 2000). Spray cooling of lying cows increased their lying time (Hillman et al., 2005). These support the contention, brought here, that a lying cow is more sensitive to heat stress than a standing cow. Respiratory heat loss is recruited when the Hsk is insufficient to maintain thermal stability. A high demand for Hre may, by itself, be a stressing factor because it reduces the time spent lying.
These generalizations are supported by thermal balance predictions, namely, that RH up to 75% have no estimable effect on Hre when the full body surface is exposed to a 1.5 m/s air velocity. In contrast, when the full body surface is exposed to a 0.3 m/s air velocity, the Hre is recruited to more than 50% of its maximal capacity, and its recruitment is earlier and steeper at 45% RH and beyond. If 66% of the body surface is exposed, at a 1.5 m/s air velocity the Hre becomes similar to that when the full body surface is exposed to a 0.3 m/s air velocity. Responses are further aggravated when the exposed body surface is limited to 66% and air velocity is low. If the RH is low, the Hre rises continuously with rising Ta above 25° C. If the RH is 55% and above, the Hre reaches a plateau at Ta below 30° C, and the plateau is reduced by rising RH. These indicate that the predicted response to RH depends not only on Ta, but also on Vs and Va. The simulations suggest that evaporative cooling may be effective in relieving heat stress at RH beyond those predicted by enthalpy calculations if high air velocity is used to enhance skin evaporative and convective heat loss. These results are consistent with Hsk conceived as a simultaneous transfer of heat and mass, in which both dry and latent heat loss are similarly modified by air velocity (Arkin et al., 1991; Kimmel et al., 1991).
The velocity of air relevant to heat exchange is Vs. Airflow at 10 cm above the body surface was approximately 0.3 to 0.4 m/s, one-third of that observed in free air above the animals. The correlations between predicted Hre and RR were the highest at Vs. These support the relevance of thermal balance outputs to real-life responses. The higher correlation in recumbent animals is probably due to a smaller variability between animals in airflow over the exposed body surface.
In conclusion, the results suggest that the range of environmental conditions within which evaporative cooling is efficient may be markedly extended if air velocity in the proximity of the animals is in the 1 to 1.5 m/s range. Also, the evaporative cooling system should not target uniform conditions in the housing space. A higher benefit may be expected from systems in which lower Ta and higher air velocity prevail in the resting area. Standing animals may attain comfort at high RH, provided air velocity is high. These may be attained by controlling the distribution of water, droplet dimensions, their path in the housing space, and air velocity (Singletary et al., 1996). Optimizing evaporative cooling requires a more complex, but attainable, control system. Such a system may extend the feasibility of evaporative cooling into less dry environments.
Received for publication March 16, 2006. Accepted for publication May 2, 2006.
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